Conjugate heat transfer on a non-isothermal rotating disc

A derivation of the conjugation criterion for a rotating disc is reported. Characteristics of conjugate heat transfer on a single disc and in a cavity formed by two discs, one rotating and the other stationary, are analysed.     

Casson fluid flow and heat transfer over a nonlinearly stretching surface

A boundary layer analysis is presented for non-Newtonian fluid flow and heat transfer over a nonlinearly stretching surface. The Casson fluid model is used to characterize the non-Newtonian fluid behavior. By using suitable transformations, the governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations. Numerical solutions of these equations are obtained with the shooting method. The effect of increasing Casson parameter is to suppress the velocity field. However the temperature is enhanced with the increasing Casson parameter.     

Turbulence in a Maxwell fluid

Three-dimensional homogeneous isotropic turbulence is formulated in terms of a discrete stochastic process in Fourier space. The time-dependent joint probability distribution of the stochastic Fourier modes is governed by a multivariate master equation. It is demonstrated that the characteristic functional of the stochastic process obeys the Hopf functional equation. As a first application of the method stochastic simulations of the Burgers's turbulence model are performed and shown to yield the expected energy spectrum.     

竖直细圆管中超临界氮的对流换热研究

在内径为2mm的竖直细圆管内进行了向上流动的超临界对流换热实验。通过实验发现,质量流量、进口温度对壁面温度分布以及压降有很大影响;并讨论了换热发生增强和恶化的原因;用浮升力和热加速准则解释了其中的一些热流体现象。并基于FLUENT软件进行了数值计算,与实验结果进行比较,分析表明,数值计算预测壁面温度分布和压降有一定的适用性。     

Variable fluid properties and variable heat flux effects on the flow and heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with slip velocity

The effects of variable fluid properties and variable heat flux on the flow and heat transfer of a non-Newtonian Maxwell fluid over an unsteady stretching sheet in the presence of slip velocity have been studied. The governing differential equations are transformed into a set of coupled non-linear ordinary differential equations and then solved with a numerical technique using appropriate boundary conditions for various physical parameters. The numerical solution for the governing non-linear boundary value problem is based on applying the fourth-order Runge-Kutta method coupled with the shooting technique over the entire range of physical parameters. The effects of various parameters like the viscosity parameter, thermal conductivity parameter, unsteadiness parameter, slip velocity parameter, the Deborah number, and the Prandtl number on the flow and temperature profiles as well as on the local skin-friction coefficient and the local Nusselt number are presented and discussed. Comparison of numerical results is made with the earlier published results under limiting cases.     

Boundary layer flow and heat transfer of a Casson fluid past a symmetric porous wedge with surface heat flux

The aim of this paper is to investigate numerically the boundary layer forced convection flow of a Casson fluid past a symmetric porous wedge. Similarity transformations are used to convert the governing partial differential equations into ordinary ones. With the help of the shooting method, the reduced equations are then solved numerically. Comparisons are made with the previously published results in some special cases and they are found to be in excellent agreement with each other. The results obtained in this study are illustrated graphically and discussed in detail. The velocity is found to increase with an increasing Falkner-Skan exponent whereas the temperature decreases. With the rise of the Casson fluid parameter, the fluid velocity increases but the temperature is found to decrease in this case. Fluid velocity is suppressed with the increase of suction. The skin friction decreases with the increasing value of Casson fluid parameter. It is found that the temperature decreases as the Prandtl number increases and thermal boundary layer thickness decreases with the increasing value of Prandtl number. A significant finding of this investigation is that flow separation can be controlled by increasing the value of the Casson fluid parameter as well as by increasing the amount of suction.     

Maxwell stress in fluid mixtures

We examine the structure of Maxwell stress in binary fluid mixtures under an external electric field and discuss its consequence. In particular, we show that, in immiscible blends, it is intimately related to the statistics of domain structure. This leads to a compact formula, which may be useful in the investigation of electrorheological effects in such systems. The stress tensor calculated in a phase separated fluid under a steady electric field is in a good agreement with recent experiments.     

Microscale heat transfer in a free jet against a plane surface

A new two-layer model has been proposed to study microscale heat transfer associated with a developing flow boundary layer. As an example, a cold, microscale film of liquid impinging on an isothermal hot, horizontal surface has been investigated. The boundary layer is divided into two regions: a micro layer at microscale away from the surface and a macro layer at macroscale away from the surface. An approximate solution for the velocity and temperature distributions in the flow along the horizontal surface is developed, which exploits the hydrodynamic similarity solution for microscale film flow. The approximate solution may provide a valuable basis for assessing microscale flow and heat transfer in more complex settings.     

Enhancement of transient heat transfer at boiling on a plate surface with low thermoconductive coatings

An experimental study of transient cooling in liquid nitrogen of strongly overheated copper plate coated with a low thermoconductive coating with thickness δ from 0.09 to 0.67 mm was performed. It is shown that the low thermoconductive coating has a significant effect on the character of temperature curves and total time of plate cooling. It was revealed that the most significant decrease in the time of plate cooling by the factor of 2.6 is achieved for the thickness of the low thermoconducting layer of 0.09 mm as compared to the case without coating.     

Dynamics of explosive boiling and third heat transfer crisis at subcooling on a vertical surface

Results of experimental studies on dynamics of explosive boiling and third heat transfer crisis under the conditions of liquid subcooling are presented for the vertical arrangement of the heat-transfer surface. Acetone was used in experiments at the pressure in the working volume from 20 to 46 kPa and subcooling from 0 to 20 K. The studied processes were recorded. Data on the velocity of evaporation front propagation at liquid subcooling were obtained. These data are compared with the results of calculations according to the models available in the literature. The effect of liquid subcooling on the regions of regime parameters corresponding to explosive boiling and third heat transfer crisis is studied.     

Some duct flows of a fractional Maxwell fluid

The aim of this paper is to establish the analytical solutions corresponding to two types of unsteady flows of fractional Maxwell fluid in a duct of rectangular cross-section. The fractional calculus approach is used in solving the problems. With the help of the methods of separation of variables and Laplace transforms, the expressions for the velocity field and the volume flux are presented under series forms in terms of the generalized G functions. Similar solutions for Newtonian and ordinary Maxwell fluids, performing the same motions, are also obtained as the limiting cases of our solutions. Furthermore, the influence of pertinent parameters on the flows is delineated and appropriate conclusions are drawn.     

Accelerated simulation of heat transfer in magnetic fluid hyperthermia

We have created a fast algorithm for calculating the temperature profile in a living tissue treated by magnetic fluid hyperthermia. Our algorithm solves an equation by the finite difference method. This equation includes the “heat sink” and “K-effective” effects. The algorithm need not an initial solution and it has the peculiarity that it makes a recursive division of the network, reducing thus the calculation period 5–9 times.     

Convection in thick and in thin fluid layers with a free surface – The influence of evaporation

Convective systems are examined by stability analysis as well as numerical solutions of the hydrodynamic basic equations in three spatial dimensions. Instabilities caused by surface tension gradients (Marangoni effect) are analyzed. The effect of evaporation of a volatile oil is studied by a two-layer system as well as by means of an effective Biot number. In thin fluid layers (a few 100 nm), an instability caused by the interaction between free surface and solid substrate manifests itself in form of surface deformation. We discuss this situation using the lubrication approximation. Special emphasis is layed on the influence of evaporation which may stabilize the system and which may lead to interesting new periodic structures.     

Model for density variation at a fluid surface

A fluid model with freely propagating longitudinal density waves is modified by the imposition of an external field. A relation between the resulting density inhomogeneity and the applied potential is obtained, depending only upon the uniform fluid pair distribution function. This is solved for a container-bounded fluid. The resulting surface density profiles for classical and zero-temperature Bose hard-sphere fluids compare very well with numerical experiments.Supported in part by U.S. ERDA, Contract No. E(11-1)-3077.Based on a talk given at Johns Hopkins Physics Colloquium, November 1974.     

超临界流体传热综述

超临界流体是温度和压力均高于临界点的流体,在临界点附近物体的粘性、密度、比热以及其它一些性质变化非常剧烈,处于超临界状态时物质的气液两相性质非常接近,这种特殊的物性使得超临界流体在诸多领域有着非常广泛的应用。总结了以前国内外学者对于超临界流体传热的研究,主要集中于CO2和水的实验研究,由众多实验表明换热恶化容易发生在赝临界点附近、高热流密度、低质量流量和向上流动的情况下,换热系数的峰值也出现在赝临界点附近,并随压力和温度的变化会有所改变。还对提出的一系列关联式进行比较和分析。     

MHD flow and mass transfer of a upper-convected Maxwell fluid past a porous shrinking sheet with chemical reaction species

This article looks at the mass transfer of the steady two-dimensional magnetohydrodynamic (MHD) boundary layer flow of an upper-convected Maxwell (UCM) fluid past a porous shrinking sheet in the presence of chemical reaction. The resulting nonlinear partial differential equations are reduced to the system of nonlinear ordinary differential equations by means of similarity transformations. Expressions of velocity and the concentration fields are obtained using the homotopy analysis method (HAM). The convergence of the obtained series solutions is explicitly discussed. The influences of sundry parameters on the velocity and the concentration fields are made and discussed in detail. The values of the skin friction coefficient and the surface mass transfer for various interesting parameters are also tabulated.