Laminar Combined Convection From a Rotating Cone

Abstract

The effect of free convection on heat transfer and on the flow field about a rotating cone is studied. A similar solution for the laminar boundary-layer equations is found to exist when the cone surface temperature varies linearly with distance from the cone apex. The transformed boundary-layer equations contain the important parameter Gr/Re2. This parameter determines the relative importance of the free convection motions on forced convection. Numerical solutions of the transformed equations for aiding flows have been carried out for Prandtl number 0.7 and different values of Gr/Re2. Results are reported for the heat transfer, shear stress, shaft moment, and velocity and temperature fields. Criteria are given for subdividing the regimes of flow as purely free, purely forced, and combined flow. Preliminary experimental heat-transfer results are reported which indicate the trends predicted by theory.

Unsteady heat and mass transfer from a rotating vertical cone with a magnetic field and heat generation or absorption effects

“…Yih [20] has considered the effects of thermal radiation on natural convection about a truncated cone. The similarity solution of the mixed convection from a rotating vertical cone in an ambient fluid was obtained by Hering and Grosh [21] for Prandtl number Pr = 0.7 and by Himasekhar et al [22] for a wide range of Prandtl numbers. Recently, Anilkumar and Roy [23] have obtained similarity solutions for the problem of unsteady mixed convection from a rotating vertical cone in a rotating fluid in the presence of thermal and mass diffusion.…”

Chemical reaction effects on MHD convective heat and mass transfer flow past a rotating vertical cone embedded in a variable porosity regime

“…In order to assess the accuracy of the present numerical method, we compared our results with those of Hering and Grosh [29] in the absence of inverse Darcy parameter and concentration equation (N = 0). The comparison in this case is found to be in good agreement, as shown in Table 1.…”

“…The comparison in this case is found to be in good agreement, as shown in Table 1. Hering and Grosh [29] Present work Hering and Grosh [29] Present work Hering and Grosh [29] Present work 0 …”

MHD combined convection flow of a non-Newtonian power-law fluid due to a rotating cone or disk

“…Wire or fiber coating, foodstuff processing, and reactor fluidization as well as rotating machinery, transpiration cooling, and projectile behavior, are examples of practical applications of such systems. The problem of laminar free convection flow from rotating cones or disks submerged in a Newtonian fluid has been treated extensively with success by a number of investigators [1][2][3][4][5][6][7][8]. The literature on thermal convection 532 Can.…”