A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a Porous Medium with Variable Thermal Conductivity
Author(s) -
Stanford Shateyi,
G. T. Marewo
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/576453
Subject(s) - laminar flow , mechanics , heat transfer , boundary layer , cylinder , partial differential equation , ordinary differential equation , materials science , porous medium , curvature , inviscid flow , thermodynamics , mathematics , differential equation , mathematical analysis , physics , porosity , geometry , composite material
The study presents an axisymmetric laminar boundary layer flow of a viscousincompressible fluid and heat transfer over a stretching cylinder embedded in aporous medium. A suitable similarity transformation is employed to transformthe partial differential equations corresponding to the momentum and heatequations into nonlinear ordinary differential equations. The resultantordinary differential equations are then solved using a successive relaxationmethod (SRM). The effects of significant parameters on the velocity and temperatureprofiles have been analyzed graphically. The obtained results are also comparedwith previously published results in some special cases and were found to bein excellent agreement. The skin friction as well as the heat transfer rate atthe surface are increased as the values of the curvature parameter increase
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