Thermal performance of hydromagnetic nanofluid flow within an asymmetric channel with arbitrarily conductive walls filled with Darcy-Brinkman porous medium
J. K. Singh, G. S. Seth, Syed M. Hussain
Abstract
The primary purpose of the investigation is to explore the thermal performance of steady hydromagnetic flow of Ti 6 Al 4 V-H 2 O nanofluid within two arbitrarily electrically conductive walls enclosing Darcy-Brinkman porous medium. The energy dissipations and Hall effect on flow performance are also examined. The equations of the flow model are derived from the field and constitutive equations connecting electric and magnetic fields. The flow model is solved by an analytical approach, and the mathematical expressions for flow field such as velocity field , motional generated magnetic field, and temperature field are derived in two particular cases, i.e., (i) in the case of the Hartmann flow ( c = 0 ) and (ii) Hartmann-Couette flow ( c = 1 ). The quantities of physical interests like wall shear stress, the critical value of the Grashof number, mass flux, and heat transport rate are also derived. The governing parameters for the numerical computation are chosen for the range of h c = 0.25 ≤ h c ≤ h c = 0.75 , Da = 0.02 ≤ D a ≤ D a = 2 , ψ l , ψ u = 0.01 ≤ ψ l , ψ u ≤ ψ l , ψ u = 100 , Pr = 0.03 ≤ Pr ≤ Pr = 7.0 and Er = 0.05 ≤ E r ≤ E r = 2.0 . An interesting outcome of the study is the appearance of flow reversal in the direction of normal flow when c = 1 . It is further confirmed from the numerical results that the Darcy-Brinkman drags and upper wall conductivity significantly raise the normal flow near the lower wall. At the same time, while this substantially reduces the normal flow in the area nearby the upper wall.