MHD flow and heat transfer between two rotating disks under the effects of nanomaterials (MoS2) and thermal radiation

Abstract

The laminar MHD nanofluid flow and heat transfer has been taken into account through two paralleled disks of infinite lengths which are separated by micro-space (δ). The angular velocity of the lower disk is Ω, and the upper disk is sΩ.. The lower disk has an insulated surface, and the upper disk surface contains temperature T0. The magnetic flux is placed along the axial direction. The velocity and energy equations are obtained in nonlinear ordinary differential equations (DEs), which are evaluated using the homotopy analysis method (HAM) under the supposition of velocity slip and temperature jump conditions. The impacts of Hartmann number M⌢ nanoparticles (MoS2), thermal radiation (Rd), Reynolds number (Re), Knudsen number Kn and s have been discussed in detail through contours (2D & 3D figures). Radial velocity diminishes for rising values of Hartmann number and tangential velocity descends for increasing values of nanoparticles (MoS2). Temperature distribution elevates for higher values of thermal radiation Rd and nanoparticles MoS2. The lower disk torque is increased for increasing values of Reands. Upper disk power is decreased for ascending values of both Kn∗andRe. Nusselt number augments for rising values of ξ and it reaches asymptotic value Nu(∞,1), while it retards for increasing values of Kn∗.s,andRe. Nusselt number elevates for escalating values of thermal radiation Rd, but it declines when s varies from −0.5to0.5.

Keywords

• Rotating disks
• Nanoparticles(MoS2)
• Magnetic field
• Thermal radiation
• Homotopy analysis method