Citations


Contact Us

For Marketing, Sales and Subscriptions Inquiries
2637 E Atlantic Blvd #43110
Pompano Beach, FL 33062
USA

Conference List

International Journal of Mathematical Research

February 2016, Volume 5, 2, pp 138-153

MHD Flow of a Nanofluid at the Forward Stagnation Point of an Infinite Permeable Wall with a Convective Boundary Condition

Siti Hidayah Muhad Saleh

,

Norihan Md Arifin

,

Roslinda Mohd Nazar

,

Ioan Pop

Siti Hidayah Muhad Saleh 1

Norihan Md Arifin 2
Roslinda Mohd Nazar 3
Ioan Pop 4

  1. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia 1

  2. Institute For Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia; Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia 2

  3. School of Mathematical Sciences, Faculty of Science and Technology, UniversitiKebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia 3

  4. Department of Mathematics, BabeÅŸ-Bolyai University, R-400084 Cluj-Napoca, Romania 4

Pages: 138-153

DOI: 10.18488/journal.24/2016.5.2/24.2.138.153

Share :

Article History:

Received: 17 May, 2016
Revised: 15 June, 2016
Accepted: 20 September, 2016
Published: 02 November, 2016


Abstract:

The steady magnetohydrodynamic (MHD) flow of a nanofluid at the forward stagnation point of an infinite permeable wall is investigated in this study. A mathematical model has been constructed and the governing partial differential equations are converted into ordinary differential equations by similarity transformation. The similarity equations are solved numerically by a shooting technique. Results for the surface shear stresses, surface heat transfer, and velocity, nanoparticle fraction and temperature profiles are presented in tables and in some graphs. Effects of the magnetic parameter  , constant mass flux   Biot number  , Brownion  motion parameter  thermophoresis parameter   and Lewis number   are examined. The present results are compared with previously available numerical results obtained using other methods of solution, and they are found to be in good agreement.
Contribution/ Originality
This study documents important features of MHD stagnation point flow with the effect of convective boundary condition also suction and injection. The paper's contribution is finding that the development of skin friction, heat flux and mass flux, with the velocity, temperature and nanoparticle fraction profiles, in tables and graphs.

Keywords:

MHD flow, Nanofluid, Stagnation point, Infinite permeable wall, Numerical solution.

Video:

Reference:

  1. K. Hiemenz, Die Grenzschicht an einem in den gleichförmigen Flüssigkeitsstrom eingetauchten geraden Kreiszylinder. Berlin: Weber, 1911.
  2. F. Homann, "Der Einfluß großer Zähigkeit bei der Strömung um den Zylinder und um die Kugel," ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 16, pp. 153-164, 1936.
  3. T. R. Mahapatra and A. S. Gupta, "Stagnation-point flow towards a stretching surface," Canadian Journal of Chemical Engineering, vol. 81, pp. 258-263, 2003.
  4. R. Nazar, "Stagnation point flow of a micropolar fluid towards a stretching sheet," International Journal of Non-Linear Mechanics, vol. 39, pp. 1227-1235, 2004.
  5. A. Ishak, "MHD mixed convection flow near the stagnation-point on a vertical permeable surface," Physica A: Statistical Mechanics and its Applications, vol. 389, pp. 40-46, 2010.
  6. T. R. Mahapatra, S. K. Nandy, and A. S. Gupta, "Analytical solution of magnetohydrodynamic stagnation-point flow of a power-law fluid towards a stretching surface," Applied Mathematics and Computation, vol. 215, pp. 1696-1710, 2009.
  7. T. Ray Mahapatra, S. K. Nandy, and A. S. Gupta, "Magnetohydrodynamic stagnation-point flow of a power-law fluid towards a stretching surface," International Journal of Non-Linear Mechanics, vol. 44, pp. 124-129, 2009.
  8. S. U. S. Choi and J. A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles. Medium: ED; Size, n.d.
  9. A. V. Kuznetsov and D. A. Nield, "Natural convective boundary-layer flow of a nanofluid past a vertical plate," International Journal of Thermal Sciences, vol. 49, pp. 243-247, 2010.
  10. W. A. Khan and I. Pop, "Boundary-layer flow of a nanofluid past a stretching sheet," International Journal of Heat and Mass Transfer, vol. 53, pp. 2477-2483, 2010.
  11. M. Mustafa, "Stagnation-point flow of a nanofluid towards a stretching sheet," International Journal of Heat and Mass Transfer, vol. 54, pp. 5588-5594, 2011.
  12. M. Hassani, "An analytical solution for boundary layer flow of a nanofluid past a stretching sheet," International Journal of Thermal Sciences, vol. 50, pp. 2256-2263, 2011.
  13. N. Bachok, A. Ishak, and I. Pop, "Stagnation-point flow over a stretching/shrinking sheet in a nanofluid," Nanoscale Research Letters, vol. 6, pp. 1-10, 2011.
  14. N. Bachok, A. Ishak, and I. Pop, "Unsteady boundary-layer flow and heat transfer of a nanofluid over a permeable stretching/shrinking sheet," International Journal of Heat and Mass Transfer, vol. 55, pp. 2102-2109, 2012.
  15. W. Ibrahim, B. Shankar, and M. M. Nandeppanavar, "MHD stagnation point flow and heat transfer due to nanofluid towards a stretching sheet," International Journal of Heat and Mass Transfer, vol. 56, pp. 1-9, 2013.
  16. W. A. Khan and A. Aziz, "Natural convection flow of a nanofluid over a vertical plate with uniform surface heat flux," International Journal of Thermal Sciences, vol. 50, pp. 1207-1214, 2011.
  17. A. Alsaedi, M. Awais, and T. Hayat, "Effects of heat generation/absorption on stagnation point flow of nanofluid over a surface with convective boundary conditions," Communications in Nonlinear Science and Numerical Simulation, vol. 17, pp. 4210-4223, 2012.
  18. A. Aziz and W. A. Khan, "Natural convective boundary layer flow of a nanofluid past a convectively heated vertical plate," International Journal of Thermal Sciences, vol. 52, pp. 83-90, 2012.
  19. M. A. A. Hamad and M. Ferdows, "Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and suction/blowing: A lie group analysis," Communications in Nonlinear Science and Numerical Simulation, vol. 17, pp. 132-140, 2012.
  20. P. Rana and R. Bhargava, "Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study," Communications in Nonlinear Science and Numerical Simulation, vol. 17, pp. 212-226, 2012.
  21. F. Labropulu, J. M. Dorrepaal, and O. P. Chandna, "Oblique flow impinging on a wall with suction or blowing," Acta. Mechanica, vol. 115, pp. 15-25, 1996.
  22. M. Katagiri, "Magnetohydrodynamic flow with suction or injection at the forward stagnation point," Journal of the Physical Society of Japan, vol. 27, pp. 1677-1685, 1969.
  23. R. Kandasamy, K. Gunasekaran, and S. b. H. Hasan, "Scaling group transformation on fluid flow with variable stream conditions," International Journal of Non-Linear Mechanics, vol. 46, pp. 976-985, 2011.
  24. W. Ibrahim and B. Shankar, "MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions," Computers & Fluids, vol. 75, pp. 1-10, 2013.
  25. M. A. A. Hamad, I. Pop, and A. I. Md Ismail, "Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate," Nonlinear Analysis: Real World Applications, vol. 12, pp. 1338-1346, 2011.
  26. P. Rana, R. Bhargava, and O. A. Bég, "Numerical solution for mixed convection boundary layer flow of a nanofluid along an inclined plate embedded in a porous medium," Computers & Mathematics with Applications, vol. 64, pp. 2816-2832, 2012.
  27. A. Aziz, "A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition," Communications in Nonlinear Science and Numerical Simulation, vol. 14, pp. 1064-1068, 2009.
  28. E. Magyari, "The moving plate thermometer," International Journal of Thermal Sciences, vol. 47, pp. 1436-1441, 2008.
  29. A. Ishak, "Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition," Applied Mathematics and Computation, vol. 217, pp. 837-842, 2010.
  30. O. D. Makinde, W. A. Khan, and Z. H. Khan, "Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet," International Journal of Heat and Mass Transfer, vol. 62, pp. 526-533, 2013.
  31. N. Bachok, A. Ishak, and I. Pop, "Stagnation point flow toward a stretching/shrinking sheet with a convective surface boundary condition," Journal of the Franklin Institute, vol. 350, pp. 2736-2744, 2013.
  32. S. K. Nandy and T. R. Mahapatra, "Effects of slip and heat generation/absorption on MHD stagnation flow of nanofluid past a stretching/shrinking surface with convective boundary conditions," International Journal of Heat and Mass Transfer, vol. 64, pp. 1091-1100, 2013.
  33. N. S. Akbar, "Radiation effects on MHD stagnation point flow of nano fluid towards a stretching surface with convective boundary condition," Chinese Journal of Aeronautics, vol. 26, pp. 1389-1397, 2013.
  34. M. A. A. Hamad, M. J. Uddin, and A. I. M. Ismail, "Radiation effects on heat and mass transfer in MHD stagnation-point flow over a permeable flat plate with thermal convective surface boundary condition, temperature dependent viscosity and thermal conductivity," Nuclear Engineering and Design, vol. 242, pp. 194-200, 2012.
  35. J. H. Merkin and I. Pop, "The forced convection flow of a uniform stream over a flat surface with a convective surface boundary condition," Communications in Nonlinear Science and Numerical Simulation, vol. 16, pp. 3602-3609, 2011.
  36. A. M. Rashad, A. J. Chamkha, and M. Modather, "Mixed convection boundary-layer flow past a horizontal circular cylinder embedded in a porous medium filled with a nanofluid under convective boundary condition," Computers & Fluids, vol. 86, pp. 380-388, 2013.
  37. O. D. Makinde and A. Aziz, "MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition," International Journal of Thermal Sciences, vol. 49, pp. 1813-1820, 2010.
  38. O. D. Makinde and A. Aziz, "Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition," International Journal of Thermal Sciences, vol. 50, pp. 1326-1332, 2011.
  39. O. D. Makinde, T. Chinyoka, and L. Rundora, "Unsteady flow of a reactive variable viscosity non-Newtonian fluid through a porous saturated medium with asymmetric convective boundary conditions," Computers & Mathematics with Applications, vol. 62, pp. 3343-3352, 2011.

Statistics:

Google Scholor ideas Microsoft Academic Search bing Google Scholor

Funding:

This study received no specific financial support.

Competing Interests:

The authors declare that they have no competing interests.

Acknowledgement:

All authors contributed equally to the conception and design of the study. The authors gratefully acknowledge the financial supports received in the form of research grant fund from the Ministry of Higher Education, Malaysia.

Related Article

( 1 ) A Steady MHD Boundary-Layer Flow of Water-Based Nanofluids over a Moving Permeable Flat Plate
( 2 ) MHD Mixed Convective Heat and Mass Transfer through a Stratified Nanofluid Flow Over a Thermal Radiative Stretching Cylinder
( 3 ) MHD Flow of a Nanofluid at the Forward Stagnation Point of an Infinite Permeable Wall with a Convective Boundary Condition
( 4 ) The Method of Determining the Function of Traffic Costs for the Node with Unregulated Flows of Requests
( 5 ) On Mathematical Model for the Study of Traffic Flow on the High Ways
( 9 ) Seasonal Time Series Analysis on Export Performance of Hawassa Green Wood Flower Production (SARIMA Model)
( 13 ) The Impact of Teacher-Pupil Ratio on Teaching-Learning Process in Primary Schools: Experiences from Tanzania
( 14 ) Remediating Some Learning Difficulties of L200 Science Education Students of Modibbo Adama University of Technology in Some Physics Concepts Using Multiple Representations
( 15 ) Tablet Technologies and Education
( 16 ) Representation of Science Process Skills in the Chemistry Curricula for Grades 10, 11 and 12 / Turkey
( 17 ) Using Jigsaw Technique as an Effective Way of Promoting Co-Operative Learning Among Primary Six Pupils in Fijai
( 18 ) Poster Presentations Improve Engineering Students’ Communication Skills
( 19 ) Mathematical Analysis of the Impact of Real Exchange Rate on Output Growth and Inflation: The Case of Tanzania Zanzibar
( 20 ) Discrimination and Classification of Poultry Feeds Data
( 21 ) Student-Teachers’ Attitudes toward Students with Disabilities: Associations with Contact and Empathy
( 23 ) Comparative Analysis of Learning Styles of Students of USA and Bangladesh
( 24 ) Collocation Approximation Methods for the Numerical Solutions of General nth Order Nonlinear Integro-Differential Equations by Canonical Polynomial
( 25 ) Responsibility Formation in Medical Students in the Course of Foreign Language Study
( 26 ) Incorporating Error Analysis Approach into the Teaching of Practical Chemistry in Senior Secondary Schools in Makurdi Nigeria: Any Effect on Achievement?
( 27 ) Counselling Against Dropout among Secondary School Students in Edo State
( 28 ) Reflective Practice in Teacher Education in Ghana
( 29 ) Gender and Location Influence on Ghanaian Students’ Perceptions of Energy and Classroom Learning
( 30 ) Learning Analytics in Practice: Development and Implementation of A Support System to the Management of the Teaching Activity
( 31 ) The Importance-Performance Matrix Analysis in Partial Least Square Structural Equation Modeling (PLS-SEM) With Smartpls 2.0 M3
( 32 ) “Students’ Perspective of Most To Least Preferred Parameters Affecting the Quality of Education in an Affiliated Undergraduate Engineering Institution in Haryana”
( 33 ) Education and Poverty Alleviation: Problems and Prospects
( 34 ) Using Cooperative E-Learning Teaching Strategy to Enhance Students’ Creativity in Secondary School Biology: A Study of Selected Schools in Nakuru County, Kenya
( 35 ) Teacher Preparation Programs and Technology Integration: Best Practices for Curriculum Design
( 37 ) Positioning Mauritius as a Knowledge Hub in the Context of Globalisation
( 38 ) The Effect of Synchronous and Asynchronous Peer Feedback on Translation Students’ Vocabulary
( 39 ) Teachers’ Perception on Laws and Education in Nigeria
( 40 ) Students’ Perception of Girlchild Affirmative Action in High Schools in Masvingo Urban, Zimbabwe
( 41 ) Applied Optimization and Approximation
( 42 ) Coping in Silence: Challenges Faced By Pregnant-Students at the University of Cape Coast, Ghana
( 43 ) Career/Vocational Guidance/Counselling: A Tool for Functional Education and Graduate Employability
( 44 ) Application of PBL Method in Beverage Technology Teaching
( 45 ) On Statistical Definition of Free and Fair Election: Bivariate Normal Distribution Model
( 46 ) Quality Assurance in Curriculum Implementation of Accounting Courses in Nigeria Tertiary Institutions
( 47 ) Alternative Way of Statistical Data Analysis: L-Moments and Tl-Moments of Probability Distribution
( 48 ) The Importance of Computers with Matlab Software in the Teaching and Learning of Geometry in Space
( 50 ) Upgraded Harmony Search Algorithm for Solving Optimal Reactive Power Dispatch Problem
( 51 ) Development of Competence Balance-Oriented Integrative Thematic Learning Tools to Foster Critical Thinking Skill and Positive Character of Elementary School Students
( 52 ) Analysis of Integrated Science and Computer Science Students’ Academic Performances in Physics in Colleges of Education, Nigeria
( 53 ) Relationship between Selected Total Quality Management Practices Employed By Public Secondary Schools Principals and Students’ Performance in Kenya Certificate of Secondary Education in Kiambu County, Kenya
( 54 ) Relationship between Self-Efficacy Belief and Academic Achievement of Distance Learners in National Teachers Institute (NTI) Adamawa State, Nigeria
( 55 ) Teaching of Mathematics and Physics in Secondary School through Research and Study Paths
( 56 ) Regulatory Roles of the National Universities Commission and the Quality of Nigerian University Education
( 57 ) Contiguous Function Relations and an Integral Representation for Appell k-Series F_(1,k)
( 58 ) A Genralist Predator Prey Mathematical Model Analysis on A Cusp Point and Bogdanov-Takens Bifurcation Point
( 59 ) Effective Use of Teaching Methodologies in Science, Technology and Mathematics (STM) Classrooms in Nigeria: A Panacea to Vision 20:2020
( 60 ) Managing the Nigerian Tertiary Education for National Transformation through Effective Continuous Staff Training and Development (CSTD)
( 61 ) Information and Communication Technology challenges and Strategies among Office Technology and Management Educators in Nigerian Polytechnics
( 62 ) Challenges of Writing Dissertations: Perceptual Differences between Students and Supervisors in a Ghanaian Polytechnic
( 63 ) Drug Use and Anti-Social Behaviour as Correlates of Secondary School Students’ Achievement in Biology in Makurdi Local Government Area of Benue State
( 64 ) Marketing Strategies And Students’ Enrolment in Private Secondary Schools in Calabar Municipality, Cross River State, Nigeria
( 65 ) Availability and Use of Instructional Materials in the Teaching of Conflict and Conflict Resolution in Primary Schools in Nandi North District, Kenya
( 66 ) Self-Concept as a Correlate of Secondary School Students Academic Performance in Mathematics
( 67 ) Principals’ School Plant Management and Academic Performance of Biology Students in Public Secondary Schools in Uyo Senatorial District, Akwa Ibom State
( 68 ) Performance Accountability in Higher Education (Case Study on the Performance Accountability at Andalasuniversity West Sumatera - Indonesia)
( 69 ) Teachers’ Maxims in English Language Teaching; a Challenge in Education for Social Transformation in Kenya
( 70 ) Performance Quality Evaluation of Faculty Members at Al- Qassim University from their and their Students’ Perspectives and Proposing a Model for its Development in the Light of Total Quality Standards
( 71 ) Digitization and Preservation as Means of Accessing Information in Nigerian University Libraries: A Case Study of Bayero University, Kano and Kashim Ibrahim Library, Ahmadu Bello University, Zaria
( 72 ) On the Component Analysis and Transformation of An Explicit Fifth – Stage Fourth – Order Runge – Kutta Methods
( 73 ) Mathematical & Spatial Relationship between Dome and Al- Mousala in Congregational Mosques (An Analytical Study of Basic Dimension of Central Dome Pattern)
( 74 ) Riccatis Equation. Asymptotics of Exact Solution
( 76 ) Influence of Laboratory Method on Students’ Mathematical Creativity in Yenagoa Local Government Area of Bayelsa State
( 77 ) Problems of Gifted Students at King Abdullah II Schools for Distinction: Students Perspective
( 78 ) Quality Assurance in Higher Education Using Business Intelligence Technology
( 79 ) Disaster Management: Planning and Communication Approaches Used in Organizations in Kenya
( 80 ) The Implication of Customer Service in Higher Education: Review Paper
( 81 ) Properties of Permutation Groups Using Wreath Product
( 82 ) The (F/G)-Expansion Method and Travelling Wave Solutions of Nonlinear Evolution Equations
( 83 ) New Features of Sprint Technological Development and Stagnant Causes and Countermeasures of Men’s 100-Meter Sprint in China
( 84 ) Retracted: Applications of Mathematical Modeling for Sensitivity and Sustainability in Supply Chain Flexibility
( 85 ) Internationalizing Teacher Education: A U.S. – Vietnam Case Study
( 86 ) Preference of Learning Styles and its Relationship with Academic Performance among Junior Secondary School Students in Dutse Local Government Area, Jigawa State, Nigeria
( 87 ) Development of a Rating Scale for Measuring Teacher Classroom Autonomy in Secondary Schools in Southwestern Nigeria
( 88 ) Evaluation of the Attitude of Candidate Preschool Teachers Towards Physical Exercise Subject
( 89 ) The Hartman-Wintner Law of the Iterated Logarithm for Noncommutative Martingales
( 90 ) Factors that Influence Teachers’ Perceptions of Information Communication and Technology (ICT) in Mathematics Teaching in Kenyan Secondary Schools
( 91 ) Optimal Solution of Balanced and Unbalanced Fuzzy Transportation Problem Using Hexagonal Fuzzy Numbers
( 92 ) Effects of Two Methods of Instruction on Students’ Critical Response to Prose Literature Text in English in Some Secondary Schools in Benin City
( 93 ) Skills that Matter and Will Last a Lifetime
( 94 ) Managing Academic Service Delivery in South-South Nigerian Universities for National Education Transformation
( 95 ) Role of Attitude, Interest and Peer Pressure in Academic Outcomes of Girls in Gem Sub - County, Kenya
( 96 ) The Ethics of Teachers’ Practices During Evaluations at University Level: The Case of the University of Maroua
( 97 ) An Investigation into the Challenges Faced by a Funding Agency in Designing and Implementing a Succession Planning Programme
( 98 ) Benchmarking in Physical Education Teacher Education Program
( 99 ) Advanced Education and Training Programs to Support Renewable Energy Investment in Africa
( 100 ) Challenges and Opportunities Associated with Supervising Graduate Students Enrolled in African Universities
( 101 ) Optimal Solution of Balanced and Unbalanced Fuzzy Transportation Problem Using Hexagonal Fuzzy Numbers
( 103 ) Multi-Order Fractional Mathieu Equation with External Multi-Periodic Excitation
( 104 ) Consistency of a Mixture Model of Two Different Distributions Approach to the Analysis of Buying Behaviour Data
( 105 ) On the Numerical Solution of Two Dimensional Schrodinger Equation
( 106 ) Effective Application of Local Teaching Aids for Cost Control in Learning Islamic Studies in Nasarawa State, Nigeria
( 107 ) Educationally Game-Based Learning Encourages Learners to be Actively Engaged in their Own Learning
( 108 ) On Adomian Polynomials and its Applications to Lane-Emden Type of Equation
( 109 ) Analysis of an Eco-Epidemiological Model with Disease in the Prey and Predator
( 110 ) The Representation of Gender in a Popular Primary School EFL Textbook Series in China
( 111 ) Do Preschool Teachers' Education Affect their Classroom Practices and Career Paths?
( 112 ) Testing the Factorial Equivalence of the Collegiate Learning Assessment Performation Task Diagnostic Instrument Across Lower Class and Upper Class Predominantly Black College Students
( 113 ) Statistical Inference for Discretely Observed Diffusion Epidemic Models
( 114 ) Traveling Wave Solutions for the Nonlinear Fractional Sharma-Tasso-Olever Equation
( 115 ) Challenges to E-Learning in Public Secondary Schools in Edo State in The 21st Century
( 116 ) Perceptions of the Open Distance and E-Learning Model at a South African University
( 117 ) Appraisal of Government Feeding Programme on Increased School Enrollment, Attendance, Retention and Completion among Secondary School Students in Maiduguri, Borno State
( 118 ) Investigating Linguistic Errors in English Composition: A Case Study of Non-English Department EFL Undergraduate Students
( 119 ) The Analysis of Entrepreneurship Program Within Higher Education (Institution Case Study of the Management of Business in Telecommunications and Informatics, Telkom University - Indonesia)
( 120 ) A Study on the Relationship between Problem Solving Skills and Multiple Intelligences of High School Students
( 121 ) Communicating Academic Achievement of Schools To Stakeholders: The Use of Weighted Average
( 122 ) Making Schools More Girl Friendly: Exploring the Effects of Girl Friendly Space on School Attendance of Adolescent Girls
( 123 ) Lobatto-Runge-Kutta Collocation and Adomian Decomposition Methods on Stiff Differential Equations
( 124 ) EFL Teachers Response to the Ecological Expectations of the Teaching Context at a Saudi University
( 125 ) Teacher Perceptions of the Impact of Peer Learning in their Classrooms: Using Social Interdependence Theory as a Model for Data Analysis and Presentation
( 126 ) An Analysis of Common Errors in ESL Descriptive Writing among Chinese Private School Students in Malaysia
( 127 ) Community Involvement and Teacher Attendance in Basic Schools: The Case of East Mamprusi District in Ghana
( 128 ) The Rwandan Secondary School Competence-Based Curriculum: Knowledge, Skills and Attitudes to Incorporate in the University of Rwanda-College of Education Programs to Align them with the Current Curriculum
( 129 ) Evaluation of the Goals of Art Education Programme in the North-East, Nigeria
( 130 ) Assessing Key Performance Indicators in Government Secondary Schools of Matabeleland Region in Zimbabwe
( 131 ) How Parental Education and Literacy Skill Levels Affect the Education of their Wards: The Case of Two Schools in the Effutu Municipality of Ghana
( 132 ) Assessing Situated Knowledge
( 133 ) Multivariate Analysis of EEG Data: Some Aspects of Diagnostic of MANOVA Model
( 134 ) An Artificial Human Optimization Algorithm Titled Human Thinking Particle Swarm Optimization
( 135 ) The Decline in Science Students’ Enrolment in Nigerian Colleges of Education: Causes and Remedies
( 136 ) I am a College Graduate: Postsecondary Experiences as Described by Adults with Autism Spectrum Disorders
( 137 ) Analyzing the Relationship between International Accreditation and the Quality of High-End Business Talents in China
( 138 ) The Relationship between Teachers Beliefs, Teachers Behaviors, and Teachers Professional Development: A Literature Review
( 139 ) When Virtual Becomes Better than Real: Investigating the Impact of a Networking Simulation on Learning and Motivation
( 140 ) Effects of Utilizing the STAD Method (Cooperative Learning Approach) in Enhancing Students' Descriptive Writing Skills
( 141 ) Metadiscourse in the Academic Writing of Local and International Students at a University in Malaysia
( 142 ) Investigating Readiness for Acceptance of Change for the Adoption of Blackboard LMS at Prince Sattam Bin Abdulaziz University, Saudi Arabia
( 143 ) Anxiety in Classroom Presentation in Teaching - Learning Interaction in English for Students of Indonesian Study Program at Higher Education
( 144 ) Industry 4.0: Employers Expectations of Accounting Graduates and its Implications on Teaching and Learning Practices
( 145 ) Investigating Issues and Challenges in Employing Action Research for Teacher Training in Malaysian Context
( 146 ) Disciplinary Management in Public Primary Schools and Teachers Job Effectiveness in Yakurr Local Government Area, Cross River State, Nigeria
( 147 ) Lecture Method Preferences, Auditory or Visual, of Ukrainian Consumers of Educational Services : A Statistical Analysis
( 148 ) Trends in Reading Literary Fiction in Print and Cyber Media by Undergraduate Students of Hasanuddin University
( 149 ) Optical Solitary Wave Solutions of the Space-Time Fractional Modified Equal-Width Equation and their Applications
( 150 ) School-Community Relationship and School System Effectiveness in Secondary Schools in Cross River State
( 151 ) Partnership as a Factor in the Effectiveness of Practice-Oriented Education of Students
( 152 ) Using the Semantic Differential Method to Assess the Learning Motivation and Attitude of First-Year Students towards Chemistry in University of EMERCOM of Russia
( 153 ) Leadership in Higher Education in Saudi Arabia: Benefits, Constraints and Challenges of Adopting Servant Leadership Model by Department Chairs
( 154 ) Do Teachers Attitudes, Perception of Usefulness, and Perceived Social Influences Predict their Behavioral Intentions to Use Gamification in EFL Classrooms? Evidence from the Middle East
( 155 ) Investigating Factors Influencing Grade 9 and 12 Learner-Performance in Science – Views of School Administrators, Teachers, and Learners: The Case of Eastern Province, Zambia
( 156 ) Agribussiness Mobile Based Learning: ADIC Model to Support Students HOTS and Life Skill in Vocational School
( 157 ) Financial Literacy of Telebachillerato Students: A Study of Perception, Usefulness and Application of Financial Tools
( 158 ) Examining the Implications of Differentiated Instruction for High School Students’ Self-Actualization
( 159 ) Initiatives for Accomplishing the TIMSS 500 CenterPoint through Curricula, Teachers' Development and Instructional Strategies
( 160 ) Effectiveness of Gamification of Web-Based Learning in Improving Academic Achievement and Creative Thinking among Primary School Students