Abstract
Numerical and analytical investigation of the effects of thermal radiation and viscous heating on a convective flow of a non-Newtonian, incompressible fluid in an axisymmetric stretching sheet with constant temperature wall is performed. The power law model of the blood is used for the non-Newtonian model of the fluid and the Rosseland model for the thermal radiative heat transfer in an absorbing medium and viscous heating are considered as the heat sources. The non-dimensional governing equations are transformed to similarity form and solved numerically. A parameter study on entropy generation in medium is presented based on the Second Law of Thermodynamics by considering various parameters such as the thermal radiation parameter, the Brinkman number, Prandtl number, Eckert number.
Highlights
Heat transfer in forced convection in axisymmetric flow of a power-law fluid past a stretching sheet occurs in numerous applications such as the polymer industry [1], cooling of metallic plates [2], drawing of plastic sheets [3], fiber and wire drawing [4], hot rolling [5], paper fabrication [6], aerodynamics [7], etc
The blood flow inside the sample body is used for an test device by Joodaki et al Vajravelu et al [23], permeable wall by Vajravelu et al [24],anthropometric etc
This fact seems to be in contrast to the similarity variable in Cartesian coordinate which is a ratio between the variables “y” and “x” (Blasius boundary layer). Those figures with n < 1 are physically inadmisible. This difference between the cylindrical coordinates and Cartesian coordinates is not essential as in a similarity solution we look for a solution which at least one co-ordinate lack a distinguished origin; more physically, it describes a flow which “looks the same” either at all times, or at all length scales
Summary
Heat transfer in forced convection in axisymmetric flow of a power-law fluid past a stretching sheet occurs in numerous applications such as the polymer industry [1], cooling of metallic plates [2], drawing of plastic sheets [3], fiber and wire drawing [4], hot rolling [5], paper fabrication [6], aerodynamics [7], etc. There are some studies that take care of the calculation of the temperature and velocity fields for the axisymmetric flow of a power-law fluid past a stretching sheet without considering the effect of thermal radiation [11,12], but heat transfer by simultaneous radiation and convection is important in various cases [13,14]. Based on these applications, Crane [15] initiated the study on boundary layer flow induced in cylindrical coordinate due to a stretching cylinder. Wang [16], viscous effects by Burde [17] and Ishak [18,19], stagnation point effects by Weidman and Entropy 2016, 18, 203; doi:10.3390/e18060203 www.mdpi.com/journal/entropy
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