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Volume 6, Issue 3
Mixed Convection in Viscoelastic Boundary Layer Flow and Heat Transfer over a Stretching Sheet

Antonio Mastroberardino

Adv. Appl. Math. Mech., 6 (2014), pp. 359-375.

Published online: 2014-06

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  • Abstract

An investigation is carried out on mixed convection boundary layer flow of an incompressible and electrically conducting viscoelastic fluid over a linearly stretching surface in which the heat transfer includes the effects of viscous dissipation, elastic deformation, thermal radiation, and non-uniform heat source/sink for two general types of non-isothermal boundary conditions. The governing partial differential equations for the fluid flow and temperature are reduced to a nonlinear system of ordinary differential equations which are solved analytically using the homotopy analysis method (HAM). Graphical and numerical demonstrations of the convergence of the HAM solutions are provided, and the effects of various parameters on the skin friction coefficient and wall heat transfer are tabulated.  In addition, it is demonstrated that previously reported solutions of the thermal energy equation given in [1] do not converge at the boundary, and therefore, the boundary derivatives reported are not correct.

  • AMS Subject Headings

76D10, 76W05

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COPYRIGHT: © Global Science Press

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@Article{AAMM-6-359, author = {Mastroberardino , Antonio}, title = {Mixed Convection in Viscoelastic Boundary Layer Flow and Heat Transfer over a Stretching Sheet}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {3}, pages = {359--375}, abstract = {

An investigation is carried out on mixed convection boundary layer flow of an incompressible and electrically conducting viscoelastic fluid over a linearly stretching surface in which the heat transfer includes the effects of viscous dissipation, elastic deformation, thermal radiation, and non-uniform heat source/sink for two general types of non-isothermal boundary conditions. The governing partial differential equations for the fluid flow and temperature are reduced to a nonlinear system of ordinary differential equations which are solved analytically using the homotopy analysis method (HAM). Graphical and numerical demonstrations of the convergence of the HAM solutions are provided, and the effects of various parameters on the skin friction coefficient and wall heat transfer are tabulated.  In addition, it is demonstrated that previously reported solutions of the thermal energy equation given in [1] do not converge at the boundary, and therefore, the boundary derivatives reported are not correct.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m303}, url = {http://global-sci.org/intro/article_detail/aamm/24.html} }
TY - JOUR T1 - Mixed Convection in Viscoelastic Boundary Layer Flow and Heat Transfer over a Stretching Sheet AU - Mastroberardino , Antonio JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 359 EP - 375 PY - 2014 DA - 2014/06 SN - 6 DO - http://doi.org/10.4208/aamm.2013.m303 UR - https://global-sci.org/intro/article_detail/aamm/24.html KW - Viscoelastic fluid, non-uniform heat source/sink, viscous dissipation, thermal radiation, homotopy analysis method. AB -

An investigation is carried out on mixed convection boundary layer flow of an incompressible and electrically conducting viscoelastic fluid over a linearly stretching surface in which the heat transfer includes the effects of viscous dissipation, elastic deformation, thermal radiation, and non-uniform heat source/sink for two general types of non-isothermal boundary conditions. The governing partial differential equations for the fluid flow and temperature are reduced to a nonlinear system of ordinary differential equations which are solved analytically using the homotopy analysis method (HAM). Graphical and numerical demonstrations of the convergence of the HAM solutions are provided, and the effects of various parameters on the skin friction coefficient and wall heat transfer are tabulated.  In addition, it is demonstrated that previously reported solutions of the thermal energy equation given in [1] do not converge at the boundary, and therefore, the boundary derivatives reported are not correct.

Antonio Mastroberardino. (2020). Mixed Convection in Viscoelastic Boundary Layer Flow and Heat Transfer over a Stretching Sheet. Advances in Applied Mathematics and Mechanics. 6 (3). 359-375. doi:10.4208/aamm.2013.m303
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