Asymptotic boundary layer solutions for mixed convection from a vertical surface in a micropolar fluid

Abstract

Abstrad-Using the theory of micropolar fluids due to Eringen, asymptotic boundary layer solutions are presented to study the combined convection from a vertical semi-infinite plate to a micropolar fluid. Consideration is given to the region close to the leading edge as well as the region far away from the leading edge. Numerical results are obtained for the velocity, angular velocity and temperature distribution. The missing wall values of the velocity, angular velocity and thermal functions are tabulated. Micropolar fluids display drag reduction and reduced surface heat transfer rate when compared to Newtonian fluids.

Effects of variable electric conductivity and non-uniform heat source (or sink)on convective micropolar fluid flow along an inclined flat plate with surfaceheat flux

“…For viscous fluid flow (D ¼ x ¼ 0) and g ¼ 0 equation (14) reduces to the equation (6) of Cortell [48] and equation (8) of Hayat et al [45] if we replace our magnetic field parameter M by M ¼ 2n/n þ 1 where n is the nonlinear stretching parameter (see Cortell [48]). To assess the accuracy of the present code, we tabulate the values of Àf 00 (0) for a viscous fluid in Table 1 and compare them with the numerical results reported by Cortell [48] and Hayat et al [45].…”

“…Many investigators have studied and reported results for micropolar fluids. The notable contributions are from Ebert [6], Jena and Mathur [7], Soundalgekar and Takhar [8], Gorla and Takhar [9], Yucel [10], Gorla [11], Khonsari and Brew [12], Khonsari [13], Gorla et al [14], Gorla and Nakayam [15], Char and Chang [16] and Raptis [17]. Rees and Pop [18] studied free convection boundary layer flow of micropolar fluids from a vertical flat plate whereas Desseaux and Kelson [19] studied the same flow bounded by a stretching sheet.…”

Effects of higher order chemical reaction on micropolar fluid flow on a power law permeable stretched sheet with variable concentration in a porous medium

“…Ariman et al (1974) have given an excellent review of micropolar fluids and their applications. Studies of the free, forced, or mixed convection in micropolar fluids past flat, curved, and/or wavy surfaces have been focused on by a number of workers (Ahmadi, 1976;Jena and Mathur, 1981;Gorla et al, 1990;Gorla, 1992;Char and Chang, 1995;Rees and Pop, 1998;Raptis and Takhar, 1999;El-Arabawy, 2003;Hassanien et al, 2004;Ibrahim et al, 2004;Kim, 2004;Sunil et al, 2006;Rahman and Sattar, 2006, 2007;Rahman and Sultana, 2008;Rahman, 2009; Rahman et al, 2009a,b,c) because of the importance of the heat/mass transfer on the flow field of micropolar fluids for determining the quality of the final products.The problem of the stretching sheet has been of great use in engineering studies. Crane (1970) first studied the flow caused by an elastic sheet whose velocity varies linearly with the distance from a fixed point on the sheet.…”

Heat Transfer in a Micropolar Fluid along a Non-linear Stretching Sheet with a Temperature-Dependent Viscosity and Variable Surface Temperature

“…These fluids are used in analyzing exotic lubricants, the flow of colloidal suspensions, paints, liquid crystals, animal blood, fluid flowing in brain, turbulent shear flows, and body fluids both mathematically and industrially. Since the early studies of Eringen [15,16] many researchers have reported results on micropolar fluids (see [17][18][19][20][21][22][23] and the references therein). Hossain and Chaudhury [24] have analyzed mixed convection flow of a micropolar fluid over an isothermal plate with a variable spin gradient viscosity.…”