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Volume 9, Issue 2
Numerical Prediction of Natural Convection Flow in the Presence of Weak Magnetic Prandtl Number and Strong Magnetic Field with Algebraic Decay in Mainstream Velocity

Muhammad Ashraf, Iram Iqbal, M. Masud & Nazara Sultana

Adv. Appl. Math. Mech., 9 (2017), pp. 349-361.

Published online: 2018-05

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  • Abstract

In present work, we investigate numerical simulation of steady natural convection flow in the presence of weak magnetic Prandtl number and strong magnetic field by involving algebraic decay in mainstream velocity. Before passing to the numerical simulation, we formulate the set of boundary layer equations with the inclusion of the effects of algebraic decay velocity, aligned magnetic field and buoyant body force in the momentum equation. Later, finite difference method with primitive variable formulation is employed in the physical domain to compute the numerical solutions of the flow field. Graphical results for the velocity, temperature and transverse component of magnetic field as well as surface friction, rate of heat transfer and current density are presented and discussed. It is pertinent to mention that the simulation is performed for different values of algebraic decay parameter $α$, Prandtl number $P_r$, magnetic Prandtl number $P_m$ and magnetic force parameter $S$.

  • Keywords

Natural convection, magnetized plate, skin friction, current density, heat transfer, algebraic decay in main stream velocity

  • AMS Subject Headings

65M10, 78A48

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-349, author = {Muhammad and Ashraf and and 19517 and and Muhammad Ashraf and Iram and Iqbal and and 19518 and and Iram Iqbal and M. and Masud and and 19519 and and M. Masud and Nazara and Sultana and and 19520 and and Nazara Sultana}, title = {Numerical Prediction of Natural Convection Flow in the Presence of Weak Magnetic Prandtl Number and Strong Magnetic Field with Algebraic Decay in Mainstream Velocity}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {2}, pages = {349--361}, abstract = {

In present work, we investigate numerical simulation of steady natural convection flow in the presence of weak magnetic Prandtl number and strong magnetic field by involving algebraic decay in mainstream velocity. Before passing to the numerical simulation, we formulate the set of boundary layer equations with the inclusion of the effects of algebraic decay velocity, aligned magnetic field and buoyant body force in the momentum equation. Later, finite difference method with primitive variable formulation is employed in the physical domain to compute the numerical solutions of the flow field. Graphical results for the velocity, temperature and transverse component of magnetic field as well as surface friction, rate of heat transfer and current density are presented and discussed. It is pertinent to mention that the simulation is performed for different values of algebraic decay parameter $α$, Prandtl number $P_r$, magnetic Prandtl number $P_m$ and magnetic force parameter $S$.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m616}, url = {http://global-sci.org/intro/article_detail/aamm/12152.html} }
TY - JOUR T1 - Numerical Prediction of Natural Convection Flow in the Presence of Weak Magnetic Prandtl Number and Strong Magnetic Field with Algebraic Decay in Mainstream Velocity AU - Ashraf , Muhammad AU - Iqbal , Iram AU - Masud , M. AU - Sultana , Nazara JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 349 EP - 361 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.2014.m616 UR - https://global-sci.org/intro/article_detail/aamm/12152.html KW - Natural convection, magnetized plate, skin friction, current density, heat transfer, algebraic decay in main stream velocity AB -

In present work, we investigate numerical simulation of steady natural convection flow in the presence of weak magnetic Prandtl number and strong magnetic field by involving algebraic decay in mainstream velocity. Before passing to the numerical simulation, we formulate the set of boundary layer equations with the inclusion of the effects of algebraic decay velocity, aligned magnetic field and buoyant body force in the momentum equation. Later, finite difference method with primitive variable formulation is employed in the physical domain to compute the numerical solutions of the flow field. Graphical results for the velocity, temperature and transverse component of magnetic field as well as surface friction, rate of heat transfer and current density are presented and discussed. It is pertinent to mention that the simulation is performed for different values of algebraic decay parameter $α$, Prandtl number $P_r$, magnetic Prandtl number $P_m$ and magnetic force parameter $S$.

Muhammad Ashraf, Iram Iqbal, M. Masud & Nazara Sultana. (2020). Numerical Prediction of Natural Convection Flow in the Presence of Weak Magnetic Prandtl Number and Strong Magnetic Field with Algebraic Decay in Mainstream Velocity. Advances in Applied Mathematics and Mechanics. 9 (2). 349-361. doi:10.4208/aamm.2014.m616
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