Suction/Injection and Double Stratification Effects on MHD Flow Between Infinite Vertical Porous Plates with Variable Temperature and Mass Diffusion
DOI:
https://doi.org/10.56919/usci.2544.010Keywords:
MHD flow, thermal stratification, mass stratification, perturbation, Laplace transform, suction/injectionAbstract
The effects of thermal and mass stratification, combined with either suction or injection, on unsteady Newtonian MHD parabolic incompressible fluid flowing through infinite vertical stationary porous plates have been investigated, considering variable temperature and mass diffusion. Appropriate dimensionless quantities were used to represent the governing coupled partial differential equations in non-dimensional form. The perturbation method and the Laplace transform technique were used to decouple and transform these partial differential equations into ordinary differential equations. The analytical solutions were obtained for unitary Prandtl and Schmidt numbers using the characteristic method and the method of undetermined coefficients. Using shift and convolution theories, the result was presented in the time domain and numerically illustrated in MATLAB. The study indicates that the concentration, temperature, and velocity profiles increase with increasing suction and double stratification, and decrease with increasing injection in the presence of stratification. Increasing the thermal (Gr) and mass (Gc) Grashof numbers results in higher fluid velocity while lowering concentration and temperature. Temperature and concentration increase with increasing magnetic parameter, while the velocity decreases. As the Darcy number increases, the concentration, temperature, and velocity decrease. The study has applications in the design of reactor cooling systems.
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