Free convection flow about a vertical spinning cone under a magnetic field

A similarity analysis was performed to investigate the laminar free-convection boundary-layer flow in the presence of a transverse magnetic field over a heated down-pointing cone spinning with a constant angular velocity about the symmetry axis. Boundary-layer velocity and temperature profiles were determined numerically for prescribed surface temperature or heat flux and for various values of the magnetic and spin parameters and the Prandtl number. The spin of the body augments the velocity profiles increasing the skin friction and compresses the temperature profiles toward the surface increasing the surface heat flux for the prescribed surface temperature case and decreasing surface temperature for the prescribed heat flux case. The magnetic field suppresses the velocity profiles and decreases the skin friction. The temperature profiles were expanded with increasing values of the magnetic parameter resulting in lower surface heat flux for the prescribed surface temperature case and higher surface temperature for the prescribed heat flux case.

[1]  E. Sparrow,et al.  The effect of a magnetic field on free convection heat transfer , 1961 .

[2]  M. Ece.  Free convection to power‐law fluids from a vertical cone of variable surface temperature , 2001 .

[3]  M. Ece.  Free-convection flow about a wedge under mixed thermal boundary conditions and a magnetic field , 2005 .

[4]  T. Chen,et al.  Combined heat and mass transfer in natural convection along a vertical cylinder , 1980 .

[5]  Ali J. Chamkha,et al.  Unsteady laminar MHD flow and heat transfer in the stagnation region of an impulsively spinning and translating sphere in the presence of buoyancy forces , 2001 .

[6]  J. Hoffman.  Numerical Methods for Engineers and Scientists , 2018 .

[7]  N. Riley,et al.  Magnetohydrodynamic free convection , 1964, Journal of Fluid Mechanics.

[8]  G. Wilks,et al.  Magnetohydrodynamic free convection about a semi-infinite vertical plate in a strong cross field , 1976 .

[9]  Harmindar S. Takhar,et al.  Self-similar solution of the unsteady flow in the stagnation point region of a rotating sphere with a magnetic field , 2000 .

[10]  Ali J. Chamkha,et al.  Unsteady mixed convection flow from a rotating vertical cone with a magnetic field , 2003 .

[11]  T. G. Cowling,et al.  THERMAL CONVECTION IN MAGNETOHYDRODYNAMICS I. Boundary Layer Flow up a Hot Vertical Plate , 1963 .

[12]  Hk Hendrik Kuiken,et al.  Magnetohydrodynamic free convection in a strong cross field , 1970, Journal of Fluid Mechanics.

[13]  Ayşegül Öztürk,et al.  Unsteady laminar mixed convection about a spinning sphere with a magnetic field , 2005 .

[14]  Ali J. Chamkha,et al.  Unsteady heat and mass transfer from a rotating vertical cone with a magnetic field and heat generation or absorption effects , 2005 .

[15]  M. Ece.  Free convection flow about a cone under mixed thermal boundary conditions and a magnetic field , 2005 .

[16]  A. Emery.  The Effect of a Magnetic Field Upon the Free Convection of a Conducting Fluid , 1963 .

[17]  H. Takhar.  HYDROMAGNETIC FREE CONVECTION FROM A FLAT PLATE. , 1971 .

[18]  M. Ece,et al.  Unsteady Forced Convection Heat Transfer From a Translating and Spinning Body , 1995 .

[19]  Roland Hunt,et al.  Magnetohydrodynamic free convection flow about a semi-infinite plate at whose surface the heat flux is uniform , 1984 .

[20]  A. Gupta,et al.  Laminar free convection flow of an electrically conducting fluid from a vertical plate with uniform surface heat flux and variable wall temperature in the presence of a magnetic field , 1962 .