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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN 印刷: 1940-2503
ISSN オンライン: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.v2.i6.20
pages 501-514

UNSTEADY FREE CONVECTION AND MASS TRANSFER FLOWIN THE STAGNATION-POINT REGION OF A THREE-DIMENSIONAL BODY: USE OF HOMOTOPY ANALYSIS METHOD

Ajay Kumar Singh
Department of Mathematics, C. L. Jain College, Firozabad-283 203, India
N. P. Singh
Department of Applied Sciences and Humanities, Rama Institute of Engineering and Technology, Mandhan, Kanpur-209217; and Department of Humanities and Applied Science, Amity University, Lucknow 226010, India
Atul Kumar Singh
Department of Mathematics, V. S. S. D. College, Kanpur 208002, India
Manisha Gupta
Department of Mathematics, V.S.S.D. College, Kanpur 208002, India
Pratibha Agnihotri
Department of Mathematics, V. S. S. D. College, Kanpur 208002, India

要約

This article deals with the unsteady free convection and mass transfer flow in the stagnation-point region of a heated three-dimensional body placed in an ambient fluid. The homotopy analysis method is employed to solve the problem. By means of new similarity transformations, the momentum, energy, and concentration equations are reduced to a set of four coupled nonlinear partial differential equations. This transformation reduces the calculation quantities to solve the problem, and the convergence of results is recovered easily. The equations of the problem are solved for various values of the ratio of the two principal radii of curvature. The results of the study are compared with those of earlier studies and are found to be in excellent agreement.


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