Flow of a second-order fluid over a stretching surface having power-law temperature

Abstract

Summary. The important physical quantities such as the coefficients of skin-friction and heat transfer are obtained from the closed-form solutions for the boundary layer equations of the flow of a second-order fluid over a stretching surface having power-law temperature.

On the analytic solution of MHD flow and heat transfer for two types of viscoelastic fluid over a stretching sheet with energy dissipation, internal heat source and thermal radiation

“…In order to verify the accuracy of the present results, we have compared our results to those of previous works for some special cases. Table 1 presents a comparison of Àh 0 (0) in PST case among the results of Nataraja et al [1], Mushtaq et al [7] and the present study in the absence of magnetic field, energy dissipation, thermal radiation and internal heat source. It is seen that these three sets of heat transfer results agree very well for different values of viscoelastic parameter and Prandtl number.…”

“…A good agreement is found in the comparison. Table 3 shows the results of Àh 0 (0) and U(0), respectively, in PST and PHF cases for a sec- Table 1 Comparison of Àh 0 (0) among Nataraja et al [1], Mushtaq et al [7] and the present results for the PST case with Mn = 0, Ec = 0, R = 0, Q = 0, f w = 0 and no work due to elastic deformation. ond-grade fluid with k 1 = 1 and Ec = 0.2 in the absence of thermal radiation and surface suction/blowing.…”

“…It is noted that k 1 > 0 is for a second-grade fluid [2,3,7,10,14,19,22] and k 1 < 0 indicates Walters' liquid B [5,9,18,20,23] also termed as second-order fluid [1,4,6,13]. The boundary conditions of Eq.…”

“…We cite here some studies that have been published recently in the literature. Nataraja et al [1] have presented the coefficients of skin-friction and heat transfer obtained from the closed-form solutions for the boundary layer equations of the flow of Walters' liquid B over a stretching surface having power-law temperature. Vajravelu and Roper [2] performed an analysis to study the flow and heat transfer characteristics in a second-grade fluid over a stretching sheet with prescribed surface temperature.…”

Natural convection flow of second-grade fluid along a vertical heated surface with variable heat flux

“…; J. These nonlinear systems of algebraic equations are linearized by means of Newton's quasi-linearization method and then solved in a very efficient manner by using the Keller-Box method [24] that has been used most efficiently by Cebeci and Bradshaw [25]. Very recently, this method has been modified and used most efficiently by Chen et al [21] while the investigated the problem on mixed convection flow of second-grade fluid along a vertical stretching flat surface with variable surface temperature.…”