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Effect of thermal radiation on magnetohydrodynamics heat transfer micropolar fluid flow over a vertical moving porous plate

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Abstract

An analysis is investigated for this study of the magnetohydrodynamics heat transfer flow of the micropolar fluid over a vertical porous moving plate in the existence of the radiation effect. The numerical elucidations of the governing equations achieved for various values of flow fields are taken out for the several parameters inflowing into the problem and solved by raising the Galerkin finite element technique. By taking the range of the magnetic field parameter 0 ≤ M ≤ 5, the range of viscosity ratio parameter is 0 ≤ β ≤ 5, and micro-gyration parameter is 0 ≤ n ≤ 5, whereas the value of Grashof number lies in 0 ≤ Gr ≤ 2 and −2 ≤ Gr ≤ 0. The numerical results and impact on the translation velocity and temperature are presented and discussed through graphs and listed in the tables. With an increase of β and Gr, the velocity increases, and the reverse effect is found with enhancing of M and n. With enhanced values of M, n, Pr, and R, the result in Cf rises.

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Abbreviations

B 0magnetic:

induction (W·m−2)

(u′,v′):

velocity components along (x′,y′)-axis (m·s−1)

\(u_{\rm{p}}^\prime \) :

constant velocity in the longitudinal direction (m·s−1)

U 0 :

scale of free stream velocity (m·s−1)

j* :

micro inertia density (J·m−3)

β* :

fluid volumetric thermal expansion (K−1)

v r :

kinematic rotational viscosity (m2·s−1)

ω′:

angular velocity component vector normal to x′y′

n :

micro-gyration vector to the shear stress parameter

Λ :

vortex viscosity or gyro-viscosity coefficient (Pa·s)

Gr :

Grashof number

M :

magnetic field parameter (W·s−1)

Pr :

Prandtl number

θ :

temperature (K)

g :

acceleration due to gravity (m·s−2)

α :

effective fluid thermal diffusivity (m2·s−1)

β :

dimensionless viscosity ratio

γ :

spin gradient viscosity (kg·m·s−1)

v :

kinematic visocity (m2·s−1)

ρ :

fluid density (kg·m−3)

σ :

electrical conductivity of the fluid (s·m−1)

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Authors and Affiliations

  1. Department of Mathematics, JNTUH College of Engineering Hyderabad, Kukatpally, Hyderabad, Telangana, 500085, India

    Shankar Goud Bejawada

  2. Department of Mathematics, Government College (Autonomous), Kalaburagi, India

    Mahantesh M. Nandeppanavar

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  1. Shankar Goud Bejawada
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  2. Mahantesh M. Nandeppanavar
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Correspondence to Shankar Goud Bejawada.

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Bejawada, S.G., Nandeppanavar, M.M. Effect of thermal radiation on magnetohydrodynamics heat transfer micropolar fluid flow over a vertical moving porous plate. Exp. Comput. Multiph. Flow 5, 149–158 (2023). https://doi.org/10.1007/s42757-021-0131-5

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  • DOI: https://doi.org/10.1007/s42757-021-0131-5

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