Local skin friction and heat transfer in combined free-forced convection from a cylinder or sphere to a power-law fluid

1988 ◽  
Vol 9 (2) ◽  
pp. 182-187 ◽  
Author(s):  
T.-Y. Wang ◽  
C. Kleinstreuer
Keyword(s):  
Heat Transfer ◽  
Skin Friction ◽  
Forced Convection ◽  
Power Law ◽  
Power Law Fluid ◽  
Local Skin ◽  
Local Skin Friction

Mixed Thermal Convection of Power-Law Fluids Past Bodies With Uniform Fluid Injection or Suction

1990 ◽  
Vol 112 (1) ◽  
pp. 151-156 ◽  
Author(s):  
T.-Y. Wang ◽  
C. Kleinstreuer
Keyword(s):  
Heat Transfer ◽  
Skin Friction ◽  
Power Law ◽  
Viscosity Index ◽  
Fluid Injection ◽  
Local Skin ◽  
Power Law Fluids ◽  
Local Skin Friction ◽  
Transfer Group ◽  
Cylinders And Spheres

Steady laminar flow of power-law fluids past heated two-dimensional or axisym-metric bodies is strongly influenced by the rate of fluid mass transfer at the wall, the buoyancy force, and the characteristics of the power-law fluid. The effects of these parameters on the local skin friction group and heat transfer group are analyzed for wedges of different angles, horizontal cylinders, and spheres. The local heat transfer group, HTG~Nux, for wedge flows is greatly affected by the power-law viscosity index n, and by fluid withdrawal especially when the generalized Prandtl number is relatively high. Fluid suction at larger Prandtl numbers also generates high HTG values for cylinders and spheres. However, the local skin friction group, SFG~Cf, for cylinders or spheres increases with fluid injection and decreases with suction largely because of buoyancy effects.

scholarly journals Slip-Flow and Heat Transfer in a Porous Microchannel Saturated with Power-Law Fluid

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yazan Taamneh ◽  
Reyad Omari
Keyword(s):  
Heat Transfer ◽  
Nusselt Number ◽  
Skin Friction ◽  
Knudsen Number ◽  
Power Law ◽  
Slip Flow ◽  
Darcy Number ◽  
Power Law Fluid ◽  
Flow And Heat Transfer ◽  
Power Law Index

This study aims to numerically examine the fluid flow and heat transfer in a porous microchannel saturated with power-law fluid. The governing momentum and energy equations are solved by using the finite difference technique. The present study focuses on the slip flow regime, and the flow in porous media is modeled using the modified Darcy-Brinkman-Forchheimer model for power-law fluids. Parametric studies are conducted to examine the effects of Knudsen number, Darcy number, power law index, and inertia parameter. Results are given in terms of skin friction and Nusselt number. It is found that when the Knudsen number and the power law index decrease, the skin friction on the walls decreases. This effect is reduced slowly while the Darcy number decreases until it reaches the Darcy regime. Consequently, with a very low permeability the effect of power law index vanishes. The numerical results indicated also that when the power law index decreases the fully-developed Nusselt number increases considerably especially, in the limit of high permeability, that is, nonDarcy regime. As far as Darcy regime is concerned the effects of the Knudsen number and the power law index of the fully-developed Nusselt number is very little.

scholarly journals Numerical Study on the Skin Friction and Heat Transfer Coefficient of Non-Newtonian Power Law Fluid in Boundary Layer

2015 ◽  
Vol 121 ◽  
pp. 824-829 ◽  
Author(s):  
Hao Zhang ◽  
Tiantian Xu ◽  
Xinxin Zhang ◽  
Liancun Zheng ◽  
Yuxiang Wang ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Heat Transfer Coefficient ◽  
Transfer Coefficient ◽  
Skin Friction ◽  
Power Law ◽  
Numerical Study ◽  
Power Law Fluid

General Analysis of Steady Laminar Mixed Convection Heat Transfer on Vertical Slender Cylinders

1989 ◽  
Vol 111 (2) ◽  
pp. 393-398 ◽  
Author(s):  
T.-Y. Wang ◽  
C. Kleinstreuer
Keyword(s):  
Heat Transfer ◽  
Mixed Convection ◽  
Skin Friction ◽  
Cooling Mode ◽  
Local Skin ◽  
Friction Parameter ◽  
Laminar Mixed Convection ◽  
Local Skin Friction ◽  
Convection Parameter ◽  
Heat Transfer Parameter

A general analysis has been developed to study fluid flow and heat transfer characteristics for steady laminar mixed convection on vertical slender cylinders covering the entire range from pure forced to pure natural convection. Two uniquely transformed sets of axisymmetric boundary-layer equations for the constant wall heat flux case and the isothermal surface case are solved using a two-point finite difference method with Newton linearization. Of interest are the effects of the new mixed convection parameter, the cylinder heating/cooling mode, the transverse curvature parameter, and the Prandtl number on the velocity/temperature profiles and on the local skin friction parameter and the heat transfer parameter. The results of the validated computer simulation model are as follows. Depending upon the magnitude and direction of the buoyancy force, i.e., the value of the mixed convection parameter and the heating or cooling mode applied, natural convection can have a significant effect on the thermal flow field around vertical cylinders. Specifically, strong variations of the local skin friction parameter and reversing trends in the heat transfer parameter are produced as the buoyancy force becomes stronger in aiding flow. The skin friction parameter increases with higher curvature parameters and Prandtl numbers. Similarly, the modified Nusselt number is larger for higher transverse curvature parameters; however, this parameter may reverse the impact of the Prandtl number on the Nusselt number for predominantly forced convection.

A Note on the Similar and Non-Similar Solutions of Powell-Eyring Fluid Flow Model and Heat Transfer over a Horizontal Stretchable Surface

2020 ◽  
Vol 401 ◽  
pp. 25-35
Author(s):  
Razi Khan ◽  
M. Zaydan ◽  
Abderrahim Wakif ◽  
B. Ahmed ◽  
R.L. Monaledi ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Skin Friction ◽  
Power Law ◽  
Nonlinear Partial Differential Equations ◽  
Skin Friction Coefficient ◽  
Point Of View ◽  
Local Skin ◽  
Similarity Transformations ◽  
Similar Solutions

Deliberation on the dynamics of non-Newtonian fluids, most especially Powell-Eyring fluid flow can be described as an open question. In this investigation, the flow and heat transfer characteristics are examined numerically by means of similarity analysis for a Powell-Eyring fluid moving over an isothermal stretched surface along the horizontal direction, whose velocity varies nonlinearly as a function of and follows a specified power-law degree formula. In order to solve the problem under consideration, the resulting system of coupled nonlinear partial differential equations with their corresponding boundary conditions is transformed into a correct similar form by utilizing appropriate similarity transformations, which are exceptionally acceptable for a particular form of the power-law stretching velocity, whose exponent is equal to . From the mathematical point of view, the similar equations of the studied flow cannot be obtained for any form of the power-law surface stretching velocity. As a result, it was found that the use of a general power-law stretching velocity results in non-similar equations. Also, appropriate numerical methods for similar and non-similar equations are used to discuss the results of engineering significance. Furthermore, correlation expressions for the skin friction and Nusselt number have been derived by applying the linear regression on the data outputted from the used computational methods.On the contrary to the heat transfer rate, it was found that the local skin friction coefficient is a decreasing property of power-law stretching.

Viscous dissipation and joule heating effects on forced convection power law fluid flow through annular duct

2021 ◽  
pp. 095440622199118
Author(s):  
Farhan Ahmed ◽  
Mazhar Iqbal ◽  
Noreen Sher Akbar
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Forced Convection ◽  
Viscous Dissipation ◽  
Power Law ◽  
Joule Heating ◽  
Magnetic Field Effect ◽  
Power Law Fluid ◽  
Annular Duct ◽  
Flow Through

Here we numerically analyse the effects of viscous dissipation and Joule heating on forced convection heat transfer rate of electrically conducting magnetohydrodynamic, ( MHD) power law fluid flow through annular duct. Mathematical model is formulated for constant properties power law fluid with steady, incompressible and laminar fully developed flow assumptions. Heat transfer results are determined by taking constant heat flux with peripheral wall temperature “known as H1 thermal boundary condition” at the solid walls of the channel. It has been observed that the effect of viscous dissipation reduces due to enhance damping magnetic field effect by increasing the value of Hartman number, Ha, especially in the case of shear thickening fluids.

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