Heat transfer on asymmetric thermal viscous dissipative Couette–Poiseuille flow of pseudo-plastic fluids

Effect of Asymmetric Boundary Conditions on Couette–Poiseuille Flow of Power-Law Fluid

“…The Nu values for insulated bottom boundaries, obtained from Eqs. (28-30), agree remarkably well with the numerical values solved by Davaa et al[10] when Q 2 ∕Q 1 0 and the Brinkman number recast in the form defined by Eq (14)…”

“…Tso et al [13] extended the work in [7] by considering the behavior of power-law fluid in the analysis of forced convective heat transfer between fixed parallel plates, subjected to asymmetric heating at the top and bottom plates. Sheela-Francisca et al [14] derived a semi-analytical solution for the temperature distribution of Couette-Poiseuille flow for pseudoplastic fluids. The temperature distribution and Nusselt number obtained for asymmetric heat flux boundary conditions are greatly affected by the heat flux ratio applied to the boundaries together with velocity of the moving plate, powerlaw index, modified Brinkman number, and a dimensionless parameter that is the constant of integration in solving the momentum equation.…”

“…The solution, however, is complicated by the need to define that integration constant. Therefore, the present study intends to improve the solution method in [14] and to provide an analytical solution for heat transfer of a Couette-Poiseuille flow subject to the asymmetric heat flux boundary condition, which is less commonly reported in the literature. Although the expressions for the temperature and velocity distributions are exact, the location that corresponds to the maximum velocity needs to be solved numerically.…”

“…Although the expressions for the temperature and velocity distributions are exact, the location that corresponds to the maximum velocity needs to be solved numerically. This study would also expand the work of [14] by including the solution of a dilatant fluid. The velocity profile from Davaa et al [9] is used, and because the solution method requires the presence of a maximum velocity in the flow, the solution is limited to Couette-Poiseuille flow that has a maximum velocity.…”

Convective and absolute instabilities in Rayleigh–Bénard–Poiseuille mixed convection for viscoelastic fluids

“…This is probably due to the fact that there is often a highly non-trivial coupling between the thermal-hydrodynamic problem and the rheological constitutive equation of the fluid. Recently, both theoreticians (Coelho, Pinho & Oliveira 2002;Sheela-Francisca et al 2012;Mokarizadeh, Asgharian & Raisi 2013) and experimentalists (Nouar, Benaouda-Zouaoui & Desaubry 2000;Peixinho, Desaubry & Lebouché 2008) have been showing an increasing interest in mixed convection of non-Newtonian fluids. The reason for this is that such fluids can be found in a great number of applications, such as those in the food, cosmetics, pharmaceutical and petroleum industries, among others.…”