TY - JOUR
ID - 13666
TI - Magnetohydrodynamic Free Convection Flows with Thermal Memory over a Moving Vertical Plate in Porous Medium
JO - Journal of Applied and Computational Mechanics
JA - JACM
LA - en
SN -
AU - Ali Shah, Nehad
AU - Ahmed, Najma
AU - Elnaqeeb, Thanaa
AU - Rashidi, Mohammad Mehdi
AD - Department of Mathematics, Lahore Leads University, Lahore Pakistan
AD - Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan
AD - Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519, Egypt
AD - Department of Civil Engineering, School of Engineering, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK
Y1 - 2019
PY - 2019
VL - 5
IS - 1
SP - 150
EP - 161
KW - Free convection
KW - Porous medium
KW - Inclined magnetic field
KW - Caputo time-fractional derivatives
DO - 10.22055/jacm.2018.25682.1285
N2 - The unsteady hydro-magnetic free convection flow with heat transfer of a linearly viscous, incompressible, electrically conducting fluid near a moving vertical plate with the constant heat is investigated. The flow domain is the porous half-space and a magnetic field of a variable direction is applied. The Caputo time-fractional derivative is employed in order to introduce a thermal flux constitutive equation with a weakly memory. The exact solutions for the fractional governing differential equations for fluid temperature, Nusselt number, velocity field, and skin friction are obtained by using the Laplace transform method. The numerical calculations are carried out and the results are presented in graphical illustrations. The influence of the memory parameter (the fractional order of the time-derivative) on the temperature and velocity fields is analyzed and a comparison between the fluid with the thermal memory and the ordinary fluid is made. It was observed that due to evolution in the time of the Caputo power-law kernel, the memory effects are stronger for the small values of the time t. Moreover, it is found that the fluid flow is accelerated / retarded by varying the inclination angle of the magnetic field direction.
UR - https://jacm.scu.ac.ir/article_13666.html
L1 - https://jacm.scu.ac.ir/article_13666_df7a81762c59dac1769c5d47f3158d07.pdf
ER -