S. M. Arifuzzaman^a , M. S. Khan^b,*, M. S. Islam^c , M. M. Islam^c , B. M. J. Rana^a , P. Biswas^a, S. F. Ahmmed^a

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-14, 2017, DOI:10.5098/hmt.9.25

Abstract Present study concerns with the numerical investigation of MHD transient naturally convective and higher order chemically reactive Maxwell fluid with Nano-particle flow through a vertical porous plate with the effects of heat generation and radiation absorption. A boundary layer approximation is carried out to develop a flow model representing time dependent momentum, energy, and concentration equations. The governing model equations in partial differential equations (PDEs) form are transformed into a set of nonlinear ordinary differential equation (ODEs) by using non-similar technique. Explicit Finite Difference Method (EFDM) is employed by implementing an algorithm in Compaq Visual Fortran 6.6a to solve the… More >

Thabet Abdeljawad^1,2,3, Muhammad Bilal Riaz^4,5, Syed Tauseef Saeed^6,*, Nazish Iftikhar⁶

CMES-Computer Modeling in Engineering & Sciences, Vol.126, No.2, pp. 821-841, 2021, DOI:10.32604/cmes.2021.012529

Abstract The main focus of this study is to investigate the impact of heat generation/absorption with ramp velocity and ramp temperature on magnetohydrodynamic (MHD) time-dependent Maxwell fluid over an unbounded plate embedded in a permeable medium. Non-dimensional parameters along with Laplace transformation and inversion algorithms are used to find the solution of shear stress, energy, and velocity profile. Recently, new fractional differential operators are used to define ramped temperature and ramped velocity. The obtained analytical solutions are plotted for different values of emerging parameters. Fractional time derivatives are used to analyze the impact of fractional parameters (memory effect) on the dynamics… More >