# AN APPLICATION OF ALGORITHMS OF ADAMS AND GEAR METHODS ON BOUNDARY LAYER CONVECTIVE HEAT TRANSFER WITH PRESSURE GRADIENT USING HOMOTOPY PERTURBATION METHOD (HPM) OVER A FLAT PLATE

## Authors

• Amber Nehan Kashif Department of Mathematics, Faculty of Science, University of Kordofan, 51111 El Obeid, Sudan
• Zainal Abdul Aziz UTM Centre for Industrial and Applied Mathematics (UTM-CIAM), Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
• Faisal Salah Department of Mathematics, Faculty of Science, University of Kordofan, 51111 El Obeid, Sudan
• K. K. Viswanathan Kuwait College of Science and Technology, Doha District, Block 4, P.O. Box No. 27235, Safat 13133, Kuwait

## Keywords:

Adams Method (AM), Gear Method (GM), Homotopy Perturbation Method (HPM), pressure gradient parameter, convective heat transfer

## Abstract

Boundary layer flow of convective heat transfer with pressure gradient over a flat plate is solved with an application of algorithms of Adams Method (AM) and Gear Method (GM) using Homotopy Perturbation Method (HPM). The distributions of temperature and velocity in the boundary layer are examined, particularly on the influences due to Prandtl number (Pr) and pressure gradient (m). Consequently, the equations of momentum and energy are resolved concurrently. These HPM outcomes have been compared with the previous published work in the literature; and these are found to be in good agreement with the results obtained from numerical methods.

## Author Biographies

• Amber Nehan Kashif, Department of Mathematics, Faculty of Science, University of Kordofan, 51111 El Obeid, Sudan
Department of Mathematics, Faculty of Science
• Zainal Abdul Aziz, UTM Centre for Industrial and Applied Mathematics (UTM-CIAM), Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
Dept. of Mathematical Sciences
• Faisal Salah, Department of Mathematics, Faculty of Science, University of Kordofan, 51111 El Obeid, Sudan
Department of Mathematics, Faculty of Science
• K. K. Viswanathan, Kuwait College of Science and Technology, Doha District, Block 4, P.O. Box No. 27235, Safat 13133, Kuwait
Associate Professor,Dept. of Mathematics

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2018-02-26

## Section

Science and Engineering

## How to Cite

AN APPLICATION OF ALGORITHMS OF ADAMS AND GEAR METHODS ON BOUNDARY LAYER CONVECTIVE HEAT TRANSFER WITH PRESSURE GRADIENT USING HOMOTOPY PERTURBATION METHOD (HPM) OVER A FLAT PLATE. (2018). Jurnal Teknologi, 80(3). https://doi.org/10.11113/jt.v80.10204