Bulletin of Pure and Applied Sciences Section - E - Mathematics & Statistics
  • Year: 2020
  • Volume: 39e
  • Issue: 1

Heat transfer on unsteady MHD convective flow of nanofluids in a rotating frame*

  • Author:
  • B. Veera Sankar1,†, B. Rama Bhupal Reddy2,
  • Total Page Count: 14
  • Published Online: Jun 1, 2020
  • Page Number: 84 to 97

1Research Scholar, Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh-518007, India

2Department of Mathematics, KSRM College of Engineering, Kadapa, Andhra Pradesh-516003, India

Corresponding author B. Veera Sankar, E-mail: veerasankar4@gmail.com

*E-mail: reddybrb@gmail.com

Online published on 14 August, 2020.

Abstract

In this paper, the unsteady MHD free convective rotating flow of nanofluids (Cu-water and Al2O3–water) in a porous medium bounded by a moving vertical semi-infinite permeable flat plate with constant heat source and convective boundary condition is studied. The slip velocity is assumed to oscillate in time with constant frequency so that the solutions of the boundary layer are the same oscillatory type. The equations for the governing flow are solved analytically by perturbation approximation. The effects of various parameters on the flow are discussed through graphs and tables.

Keywords

Heat transfer, Porous medium Nanofluids, Rotating frame, Convective flow, 76R99, 76S05, 76S99, 76W05, 76W99, u, v, w, velocity components along x, y and z-axes respectively, βnf, coefficient of the thermal expansion of nanofluid, Knf, thermal conductivity of nanofluid, Ur, the uniform reference velocity, ε, the small constant quantity, σ, electric conductivity of the fluid, ρnf, density of the nanofluid, μnf, viscosity of the nanofluid, (ρCp)nf, heat capacitance of the nanofluid, g, acceleration due to gravity, k, permeability of porous medium, T, temperature of the nanofluid, Q, temperature dependent volumetric rate of heat source, αnf, thermal diffusivity of the nanofluid, (ρβ)nf, the thermal expansion coefficient of the nanofluid, ϕ, solid volume fraction of the nanoparticles, w0, the normal velocity at the plate, νf, kinematic viscosity of nanofluid, R, rotational parameter, M, magnetic field parameter,, Pr, Prandtl number, Ω, Angular velocity, γ, convective parameter, Rex, Local Reynolds number, τ, skin friction parameter, Nu,Nusselt number, n, frequency of oscillation, t, time, f, base fluid, nf, nano-fluid, s, nanosolid paricles