A study of elastico-viscous fluid flow by a revolving disk with heat dissipation effects using HAM based package BVPh 2.0

Abstract

Von Kármán problem of infinite disk is re-examined when fluid under consideration is elastico-viscous, satisfying the constitutive relations of Walters-B model. Main target here is to demonstrate how the presence of elasticity alters heat transfer phenomenon for the said problem especially when heat dissipation term is included in the analysis. We assume a self-similarity solution that results in a system of coupled non-linear equations. An easy to use package BVPh 2.0 based on the homotopy analysis method is used to present series solutions for values of elastico-viscous fluid parameter ($$K$$ K ) in the range $$0 \le K \le 1$$ 0 ≤ K ≤ 1 . Residuals are evaluated numerically at various order of approximations which depict that obtained solutions converge to the exact solutions. Boundary layer is substantially suppressed due to the consideration of elastico-viscous fluid assumption. Furthermore, velocity of the entrained fluid is inversely proportional to the parameter $$K$$ K . The results predict a substantial drop in heat transfer rate whenever elasticity effects are present. A considerable role of heat dissipation towards thickening of thermal boundary layer is apparent from the findings.

Numerical exploration of slip effects on second-grade fluid motion over a porous revolving disk with heat and mass transfer

“…Quite recently, viscous dissipation effects on the Von-Karman flow problem were formulated using Walters-B and second grade models by Burhan and Mustafa [ 35 , 36 ] respectively, when slip boundary effects were missing. Current study extends the work [ 36 ] by including partial slip boundary assumption for both velocity and temperature functions and by considering concentration distribution.…”

Analysis of Magnetohydrodynamic Micropolar Nanofluid Flow due to Radially Stretchable Rotating Disk Employing Spectral Method

“…[9] observed the flow of the Maxwell nanofluid overstretching permeable rotating disk, whereas the flow of mixed convection viscoelastic hybrid nanofluid past a rotating disk was examined by [10]. Some of the latest significant works on fluid flow past a rotating disk are also found in [11][12][13][14][15].…”

Analytical solution for unsteady Walters-B fluid flow by a deforming surface with acceleration using OHAM based package BVPh2.0

“…Cham and Mustafa [11], Behbahan et al [12], Moatimid et al [13] and Marinca et al [14]. Viscoelastic models had also been utilized by researchers to investigate other interesting flow scenarios, such as channel flows [15], flow in a rectangular duct [16], peristaltic flows [17][18][19] and rotating-disk produced flows [20][21][22], just to name a few.…”