ANALYTICAL TEMPERATURE DISTRIBUTION FOR MULTIDIMENSIONAL BODIES EXPOSED TO A CONSTANT SURFACE HEAT FLUX

For many decades, solutions for transient temperature distributions in multidimensional objects were determined by combining as a product the solutions of one-dimensional objects necessary to delimit the contour of these multidimensional objects. These product solutions are usually restricted to two types of boundary conditions: a constant wall temperature and a constant heat transfer coefficient

This paper considers the case of an object exposed to a constant surface heat flux. It is shown that when the surface of multidimensional object is submitted to a constant heat flux density, its temperature distribution can be obtained by the simple addition of one-dimensional temperature distributions. Only three one-dimensional solutions are necessary to solve all possible multidimensional problems. These are the solutions for a semi-infinite slab, an infinite plate and an infinite cylinder. The equations describing the temperature profile within each of these one-dimensional objects are presented as well as their graphical representations in a generalized form for rapid determination of temperatures.     

NONSIMILAR SOLUTIONS FOR HEAT TRANSFER IN WALL JET FLOWS

An analysis is presented to investigate the flow and heat transfer characteristics of a laminar plane wall jet with non-isothermal wall as well as uniform suction and blowing at the surface and a laminar cylindrical wall jet. The approach used is local nonsimilarity method, wherein, the nonsimilanty terms appearing in the momentum and energy equations are retained and simplifications are introduced only in the auxiliary system of equations. To insure the accuracy of the results, solutions are obtained for three levels of truncation of the governing equations. For the case of plane wall jet problem, both a series solution as well as local nonsimilarity solution have been given and the agreement between the two is found to be very good. For the cylindrical wall jet problem, the results obtained by the local nonsimilarity approach in the present paper have been compared with the series solution results. Numerical results for the wall shear stress, velocity distribution, wall heat transfer rate and temperature field are presented.     

HEAT TRANSFER DUE TO MHD SLIP FLOW OF A SECOND-GRADE LIQUID OVER A STRETCHING SHEET THROUGH A POROUS MEDIUM WITH NONUNIFORM HEAT SOURCE/SINK

An analysis is carried out to study the heat transfer characteristics of a second-grade non-Newtonian liquid due to a stretching sheet through a porous medium under the influence of external magnetic field. The stretching sheet is assumed to be impermeable. Partial slip condition is used to study the flow behavior of the liquid. The effects of viscous dissipation, nonuniform heat source/sink on the heat transfer are addressed. The nonlinear partial differential equations governing momentum and heat transfer in the boundary layer are converted into nonlinear ordinary differential equations using similarity transformation. Analytical solutions are obtained for the resulting boundary value problems in the case of two types of boundary heating, namely, constant surface temperature (CST) and prescribed surface temperature (PST). The effects of slip parameter, second-grade liquid parameter, combined (magnetic and porous) parameter, Prandtl number, Eckert number, and nonuniform heat source/sink parameters on the heat transfer are shown in several plots. Analytical expressions for the wall frictional drag coefficient and wall temperature gradient are obtained.     

SLIP FLOW AND HEAT TRANSFER OF A SECOND-GRADE FLUID IN A POROUS MEDIUM OVER A STRETCHING SHEET WITH POWER-LAW SURFACE TEMPERATURE OR HEAT FLUX

This article deals with the study of boundary layer flow of a second-grade fluid in a porous medium past a stretching sheet and heat transfer characteristics with power-law surface temperature or heat flux. The flow in the boundary layer is considered to be generated solely by the linear stretching of the boundary sheet adjacent to a porous medium, and boundary wall slip condition is assumed. In the energy equation effects of viscous dissipation, work done due to deformation and internal heat generation/absorption is taken into account. Closed form solutions are obtained for this problem.     

结晶垢结垢过程的传热传质模型

通过对结晶垢结垢过程传热传质机理的分析,证明了垢层表面温度随时间的变化会对结垢过程产生重大影响.据此提出了考虑垢层表面温度变化的描述结垢过程的传热传质模型.对恒壁温和恒热流条件下的结垢过程进行了详尽的分析和讨论.结果表明,对恒壁温情况必须考虑垢层表面温度随时间的变化,这一变化是导致结垢过程渐近特性的重要原因之一;而对恒热流情况,垢层表面温度随时间的变化很小,可以忽略它所带来的对结垢过程的影响.与实验数据比较表明,模型预测是正确可靠的.     

CONJUGATE HEAT TRANSFER WITH TURBULENT FLOW IN A CIRCULAR TUBE

A steady heat transfer problem has been analyzed as a conjugate problem with turbulent flow in a circular tube. The three kinds of thermal boundary conditions considered here are specified as constant temperature, constant heat flux and constant heat transfer coefficient at the outer surface of the wall.

From the results of numerical calculation for Prandtl numbers in the range 0.01 ≤ Pr ≤ 10 and for Reynolds numbers in the range 10⁴ ≤ Re ≤ 10⁵, it was confirmed that the dimensionless parameter R_c could have significant effects on the heat transfer and the temperature field in the fluid adjacent to the wall.     

液态金属钠在环管进口段湍流换热研究

对等热流密度边界条件下的进口效应进行了研究.推导出可借助有限差分法求解的微分-积分方程组,编制了计算机计算程序,并根据计算结果拟合出湍流放热计算关系式.实验采用环管内径为12.34mm,外径为19.00mm,通道外壁绝热,内壁为恒热流.研究结果表明,理论和实验结果与其他研究结果吻合良好.本研究参数范围:Re=2×10~4～1.35×10~5,Pe=128～854.     

HEAT TRANSFER IN A SUBCOOLED WATER FILM FALLING ACROSS A HORIZONTAL HEATED TUBE

A numerical simulation and an experimental study were carried out for sensible heat transfer for a subcooled water film falling across a horizontal heated tube. A laminar model and a turbulent model were adopted to calculate the heat transfer coefficient. The whole wetting zone on the tube surface was divided into two zones: the top stagnation zone and the lateral free film flow zone. The initial boundary conditions for the free film flow zone were determined by calculating the fluid and the temperature fields in the stagnation zone. A modified wall function method was used for the turbulent model. The comparisons between the experimental data and the numerical solutions show that the experimental data agree reasonably well with the laminar model solutions. Finally, two simple correlations were proposed for predicting the convective heat transfer of a falling film for engineering applications.     

TRANSIENT MIXED CONVECTION ALONG A VERTICAL PLATE EMBEDDED IN POROUS MEDIA WITH INTERNAL HEAT GENERATION AND OSCILLATING TEMPERATURE

The effects of oscillating plate temperature on transient mixed convection heat transfer from a porous vertical surface embedded in a saturated porous medium with internal heat generation or absorption are studied. The governing equations are transformed into dimenionless form by a set of variables and solved using the Galerkine finite element method. As the energy generation increases, the temperature near the wall will be higher than the wall temperature, thus increasing buoyancy forces inside the boundary layer and consequently increasing the velocity. The increase of energy absorption term for either space or temperature dependence will decrease the velocity inside the boundary layer and increase heat transfer rates. Different temperature and velocity profiles are drawn for different dimensionless groups. Numerical values for Nusselt numbers as well as local skin friction coefficient are also tabulated.     

TRANSIENT MIXED CONVECTION ALONG A VERTICAL PLATE EMBEDDED IN POROUS MEDIA WITH INTERNAL HEAT GENERATION AND OSCILLATING TEMPERATURE

The effects of oscillating plate temperature on transient mixed convection heat transfer from a porous vertical surface embedded in a saturated porous medium with internal heat generation or absorption are studied. The governing equations are transformed into dimenionless form by a set of variables and solved using the Galerkine finite element method. As the energy generation increases, the temperature near the wall will be higher than the wall temperature, thus increasing buoyancy forces inside the boundary layer and consequently increasing the velocity. The increase of energy absorption term for either space or temperature dependence will decrease the velocity inside the boundary layer and increase heat transfer rates. Different temperature and velocity profiles are drawn for different dimensionless groups. Numerical values for Nusselt numbers as well as local skin friction coefficient are also tabulated.     

环柱形颗粒填充床传热参数

在一可同时测定轴向与径向温度分布的壁冷式固定床实验装置上 ,通过实验测定了球形、圆柱形和环柱形填充颗粒的径向有效导热系数和壁给热系数 .采用计及内、外环外表面积的颗粒等比表面积当量直径 ,将这些传热参数与Reynolds数相关联 .     

ANALYTICAL STUDY OF HEAT TRANSFER TO LAMINAR FLOW OF NON-NEWTONIAN FLUIDS IN ANNULUS

An analytical study is made of the problem of laminar flow heat transfer to pseudoplastic fluids in a concentric circular tube annulus. The solution is obtained for simultaneously developing velocity and temperature profiles and constant wall heat flux. Constant property results are presented for different values of flow behavior index, n, and several inner to outer tube radius ratios and Prandtl numbers. Variable property solutions, with strongly temperature-dependent consistency index are obtained. The effect of viscous dissipation on the results of heat transfer is also presented.     

STEADY LAMINAR FLOW THROUGH TWISTED PIPES: FLUID FLOW AND HEAT TRANSFER IN RECTANGULAR TUBES

Fluid flow and heat transfer characteristics in a twisted rectangular tube having an aspect ratio of two were studied using a numerical solution to the momentum and energy equations. Fluid flow solutions are presented for a fully developed laminar flow of a Newtonian fluid. Heat transfer results are presented for the case of axially uniform wall temperature. For the case of peripherally uniform wall temperature, the overall Nusselt number in a twisted rectangular tube was found to be higher than a straight tube by up to 30 percent over certain ranges of twist lengths. However, for the case of non-uniform wall temperature, the overall absolute Nusselt number increased very rapidly with decrease in the twist length     

LAMINAR BOUNDARY LAYER HEAT TRANSFER TO POWER-LAW FLUIDS

The heat transfer for the steady two-dimensional incompressible laminar boundary layer of power-law non-Newtonian fluids past a semi-infinite static or moving flat plate is studied by local similarity method. Four cases are considered: static plate with prescribed wall temperature and heat flux; and moving plate with prescribed wall temperature and heat flux. The effescts of the flow index, streamwise distance and modified Prandtl number on the temperature distribution and heat transfer rate are discussed in detail.     

LAMINAR BOUNDARY LAYER HEAT TRANSFER TO POWER-LAW FLUIDS

The heat transfer for the steady two-dimensional incompressible laminar boundary layer of power-law non-Newtonian fluids past a semi-infinite static or moving flat plate is studied by local similarity method. Four cases are considered: static plate with prescribed wall temperature and heat flux; and moving plate with prescribed wall temperature and heat flux. The effescts of the flow index, streamwise distance and modified Prandtl number on the temperature distribution and heat transfer rate are discussed in detail.     

管内对流换热系数的瞬态测量方法

<正>1前言 直接测定对流换热系数的方法分稳态法和瞬态法,前者对实验条件要求苛刻.近年来,瞬态法倍受人们关注”-”.Hausen和Kast’‘·”相继阐述了利用周期变化的流体温度在固体壁内的传播特性确定对流换热系数的原理,即根据流体与固体温度变化之间的相位角滞后（或振幅衰减）确定对流换热系数.Roetzel‘”提出了一套适用于任意形式周期振荡流体温度的瞬态测量方法. 对实测的流体温度波Tf（t）,利用傅里叶级数分析方法把Tf＊）展开为傅里叶级数,其一次谐波正弦和余弦函数项的系数表述为 u。——一Ill（t）Slnwtdt.u。——一11’（）cosnddt（l）则一次谐波可表达为 01。“fslflO此十贝）（2）式（2）中,振幅u;一 Vu: + ug,相位角9一 arc ig（uc/us）,一次谐波的周期 P—Zt。,角速度。一。八。2 测量基础2.1 模型A——霉壁面导热热阻 忽略管壁导热热阻,管壁的能量方程为 厂dL川t一。S叮f一几）一兄凡（几一瓦）（3）若求得的管壁周期振荡温度的一次谐波为Tw（t）一u。sinnd,则流体温度超前相位角9和振幅U;分别为 .y.,o\ It【._o\“工_P_\“ 9”sfCtg WN .Ut=U。。l---- W l e -- （4）一旦实际测得相位角差贝或振幅比ff八。,即可确定对流换热系数。;.显然,当ac《a时,管外对流换热的影响甚小.当液体在管     

气化炉拱顶耐火隔热衬里层传热关键影响因素分析

以某化肥装置天然气气化炉的典型工业运行实测数据为基准,采用稳态传热理论对气化炉拱顶外壁温度进行理论传热计算校验,通过对拱顶耐火隔热衬里层传热关键因素的灵敏度分析,表明莫来石隔热砖层对拱顶外壁温度的影响最大,从理论上证明了控制拱顶耐火隔热衬里层传热的关键物性参数是隔热砖的导热系数。因此,在拱顶耐火隔热衬里层设计计算中选取...     

HYDROMAGNETIC STAGNATION POINT FLOW TOWARDS A POROUS STRETCHING SHEET WITH VARIABLE SURFACE HEAT FLUX IN THE PRESENCE OF HEAT GENERATION

The influence of heat generation or absorption on the steady, two-dimensional flow of an electrically conducting fluid near a stagnation point on a stretching permeable surface with variable surface heat flux in the presence of a magnetic field is investigated. The governing system of partial differential equations describing the problem are converted into highly non-linear ordinary differential equations using similarity transformation. Numerical solutions of these equations are obtained using the fourth-order Runge-Kutta integration scheme with the shooting method. The effects of the heat generation or absorption parameter and the velocity ratio parameter on the velocity and the temperature are displayed graphically and discussed. The numerical values of the local skin-friction coefficient and the local Nusselt number for various values of physical parameters are presented through tables and discussed.     

高热流条件下超临界压力煤油流过小直径管的传热特性

探讨了超临界压力下煤油流过内径为 1.70mm的不锈钢管的传热特性 .实验在压力为 5、 15MPa ,质量流率为 85 0 0～ 5 10 0 0kg·m^-2 ·s^-1和热负荷高达 5 5 .0MW·m^-2 的参数范围内进行 .结果表明 :在内壁温达到拟临界温度时有拟沸腾现象发生 ;进一步提高热负荷会发生传热恶化 ,加入添加剂能提高临界热负荷 ;在极高热负荷下还会发生第 2次传热强化 ,限制了传热恶化的壁温飞升 .给出了煤油的强制对流传热关联式 ,计算值和实验值吻合良好 .     

NATURAL CONVECTION HEAT AND MASS TRANSFER FROM A VERTICAL FLAT PLATE WITH VARIABLE WALL TEMPERATURE AND CONCENTRATION TO POWER-LAW FLUIDS WITH YIELD STRESS IN A POROUS MEDIUM

The problem of natural convection coupled heat and mass transfer of non-Newtonian power law fluids with yield stress from a vertical flat plate in a fluid-saturated porous medium is analyzed under boundary layer approximations. Similarity solutions are obtained for the general case of power law variations of the wall temperature and concentration. Velocity, temperature, and concentration profiles as well as local heat and mass transfer rates are presented and discussed for different values of the rheological parameters of a power-law fluid, the Lewis number, and the thermal and concentration buoyancy ratio.