Note on porous rotating disk flow

Abstract

We revisit the classical Kármán rotating disk problem. A series analysis is used to derive estimates of boundary conditions at the surface. Using these estimates, computed thermal and flow fields for large mass transfer through the disk are readily obtained using a shooting method. The relevance of the problem to practical flows is discussed briefly.

The effects of variable properties and hall current on steady MHD laminar convective fluid flow due to a porous rotating disk

“…(12). Here W s represents a uniform suction (W s < 0) or injection (W s > 0) at the surface (see [22]). …”

Viscous dissipation, Ohmic heating and radiation effects on MHD flow past a rotating disk embedded in a porous medium with variable properties

“…In generating the results we used L = 15 and Pr = 0.64 which is the value of Prandtl number for a flue gas. To establish the validity of our numerical results adopted in the present investigation, we made a comparison of our calculated results with study of Kelson and Kelson and Desseaux [12] in Table 1 to the case of suction or injection velocity. The comparisons show excellent agreements, hence an encouragement for the use of the present numerical computations.…”

On a linearisation method for Reiner-Rivlin swirling flow

“…A systematic approach is used to find optimal initial "guesses" which are then used in the SHAM algorithm to accelerate convergence. In the first instance we assume that solutions for H (η), G(η) and (η) in equations (17)- (19) can be found in the form …”

“…In the following section we solve the nonlinear coupled system (17)- (19) with boundary conditions (20) by the ISHAM.…”

“…The shooting method was used to solve the von Kármán equations and to investigate heat transfer in porous medium in [19,29,30,33,35]. Numerical schemes involving Runge-Kutta methods, finite element and finite difference approximations were used in [14,18,24] to study the effects of a rough disk surface on the flow.…”