Surface Temperature and Heat Transfer Conditions in the Ablation of Shear Thinning and Shear Thickening Liquids

1969 ◽  
Vol 91 (1) ◽  
pp. 105-110
Author(s):  
B. Steverding

The heat and mass transfer conditions for the ablation of Newtonian liquids have been described in a number of excellent articles. However, little attention has been paid to the behavior of non-Newtonian liquids for which the viscosity is not only a function of temperature but also of shear rate. This is astonishing since many excellent ablators behave in a non-Newtonian manner, especially when they contain foreign particles such as gas bubbles. The purpose of this paper is to study changes in heat and mass transfer if the ablator has a shear rate dependent viscosity. As a result of this study it will be shown that deviations from normal Newtonian behavior increase with increasing shear stress and decreasing bluntness of the cone. Surface temperatures are calculated as a function of Mach number, degree of non-Newtonian viscosity parameter, nose radius, and altitude. Numerical results are given for a model substance with the physical characteristics of Pyrex glass but with a hypothetically varying degree of non-Newtonian viscosity behavior.

10.1002/ls.45 ◽  
2007 ◽  
Vol 19 (4) ◽  
pp. 231-245 ◽  
Author(s):  
Saša Bukovnik ◽  
Günter Offner ◽  
Valdas Čaika ◽  
Hans H. Priebsch ◽  
Wilfried J. Bartz

2019 ◽  
Vol 23 (1) ◽  
pp. 331-345 ◽  
Author(s):  
Raheel Ahmed ◽  
Nasir Ali ◽  
Khurram Javid

In the present study heat and mass transfer phenomena in flow of non-Newtonian Sisko fluid induced by peristaltic activity through a curved channel have been investigated numerically using an implicit finite difference scheme. The governing equations are formulated in terms of curvilinear co-ordinates with appropriate boundary conditions. Numerically solution is carried out under long wavelength and low Reynolds number assumptions. The velocity field, pressure rise per wavelength, stream function, temperature, and concentration fields have been analyzed for the effects of curvature parameter, viscosity parameter, and power law index. Additionally, the computation for heat transfer coefficient and Sherwood number carried out for selected thermophysical parameters. The main results that are extracted out this study is that for strong shear-thinning biofluids (power-law rheological index, n < 1) the flow exhibits the boundary-layer character near the boundary walls. Both temperature and mass concentration are found to increase with increasing the generalized ratio of infinite shear rate viscosity to the consistency index. The amplitude of heat transfer coefficient and Sherwood number is also an increasing function of generalized ratio of infinite shear rate viscosity to the consistency index.


2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
A. M. Salem

A numerical model is developed to study the effects of temperature-dependent viscosity on heat and mass transfer flow of magnetohydrodynamic(MHD) micropolar fluids with medium molecular weight along a permeable stretching surface embedded in a non-Darcian porous medium in the presence of viscous dissipation and chemical reaction. The governing boundary equations for momentum, angular momentum (microrotation), and energy and mass transfer are transformed to a set of nonlinear ordinary differential equations by using similarity solutions which are then solved numerically by shooting technique. A comparison between the analytical and the numerical solutions has been included. The effects of the various physical parameters entering into the problem on velocity, microrotation, temperature and concentration profiles are presented graphically. Finally, the effects of pertinent parameters on local skin-friction coefficient, local Nusselt number and local Sherwood number are also presented graphically. One important observation is that for some kinds of mixtures (e.g., H2, air) with light and medium molecular weight, the magnetic field and temperature-dependent viscosity effects play a significant role and should be taken into consideration as well.


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