Mixed convection from a vertical plate to non-Newtonian fluids with uniform surface heat flux

Wang, Tian-Yih

doi:10.1016/0735-1933(95)00017-s

Cited by 29 publications

(11 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to the so-called power law model [1][2], the kinematics viscosity of incompressible non-Newtonian fluid in cylindrical coordinates systems is characterized as [3][4][5][6][7][14][15]. In 2000, based on Fourier's law heat conduction and the analogy between the velocity boundary layer and the thermal one, Zheng et al [8] defined the thermal conductivity as…”

Section: Introductionmentioning

confidence: 99%

Numerical Methods for Solving Energy Equations of Dilatant Fluid Flow

Zheng

Zhang

2010

2010 Third International Joint Conference on Computational Science and Optimization

View full text Add to dashboard Cite

In this article, a steady heat transfer problem is investigated numerically by using power law model coupled with Zheng's model. Several efficient and robust methods are proposed to solve energy equations of dilatant fluids in a circular duct. Binomial formula and leastsquares approximation are introduced in the transformation of the nonlinear item of the thermal diffusivity into a reasonable linear one. The results are obtained by using the control volume technique based on the finite difference model coupled with the LU decomposition method. These algorithms are compared with each other and the transfer characteristics of different values of parameters are revealed in details.

show abstract

Section: Introductionmentioning

confidence: 99%

Numerical Methods for Solving Energy Equations of Dilatant Fluid Flow

Zheng

Zhang

2010

2010 Third International Joint Conference on Computational Science and Optimization

View full text Add to dashboard Cite

show abstract

“…Howell et al [5] and Barletta et al [2] have experimented the heat transfer and momentum on a ceaseless poignant surface in relation with the power-law liquids. Many authors [6][7][8][9] have made analysis on the mixed convection typed heat transfer using a horizontal or vertical plate for a liquid, which is non-Newtonian; with homogeneous heat flux of the surface. Hussanien et al [10] inspected on the heat transfer within a power-law liquid over a Non-isothermal widened sheet.…”

Section: Introductionmentioning

confidence: 99%

Convective Heat Transfer and Fully Developed Flow for Circular Tube Newtonian and Non-Newtonian Fluids Condition

Shkarah

2021

Journal of Thermal Engineering

View full text Add to dashboard Cite

We represent a conceptual scrutiny for completely organized convective heat transfer ring within the circular pipeline with power law liquids by means of realizing that the heat diffusivity has been a temperature gradient. The investigative resolution is availed and the behaviour of the heat transfer is inspected under a persistent thermic flux frontier condition. It has been demonstrated that the Nu stubbornly relies upon the power-law index n value. The Nu (Nusselt number) recognizably gets reduced in a range of n from 0 to 0.1. Nonetheless, for n greater than 0.5, there is a monotonic decrement in the Nu with the incremental n, and for n greater than 20, values of the Nu have approached a constant.

show abstract

“…Understanding the nature of this force by mathematical modeling with a view to predicting the drag forces and the associated behavior of fluid flow has been the focus of considerable research work. In addition, the mathematical model considered in the present paper has significance in studying many problems of engineedngtl-3, [6][7][8][9][10][11] Received 2004…”

Section: Introductionmentioning

confidence: 99%

Suitable heat transfer model for self-similar laminar boundary layer in power law fluids

Zheng

Zhang

2004

J. of Therm. Sci.

View full text Add to dashboard Cite

The classical power law non-Newtonian fluids energy boundary layer equation is proved improper to describe the self-similar heat transfer. A theoretical analysis for momentum and energy boundary layer transfer behavior is made and the full similarity heat boundary layer equation is developed, which may be characterized by a power law relationship between shear stress and velocity gradient with the Falkner-Skan equation as a special case. Both analytical and numerical solutions are presented for momentum and energy boundary layer equations by using the similarity transformation and shooting technique and the associated transfer charactersfics are discussed.

show abstract

Mixed convection from a vertical plate to non-Newtonian fluids with uniform surface heat flux

Cited by 29 publications

References 8 publications

Numerical Methods for Solving Energy Equations of Dilatant Fluid Flow

Numerical Methods for Solving Energy Equations of Dilatant Fluid Flow

Convective Heat Transfer and Fully Developed Flow for Circular Tube Newtonian and Non-Newtonian Fluids Condition

Suitable heat transfer model for self-similar laminar boundary layer in power law fluids

Contact Info

Product

Resources

About