Dynamics of transient processes at liquid boiling-up in the conditions of free convection and forced flow in a channel under nonstationary heat release

Results on experimental investigation of the dynamics of boiling-up at stepwise heat release on a horizontally oriented cylindrical surface in a large volume of freon-21 are presented. Experimental data on the propagation velocity, structure, and other local characteristics of development of self-sustained evaporation fronts at different temperature differences of boiling-up in saturated liquid were obtained. New experimental results on the dynamics of vapor phase incipience and evolution on the surface of a vertical heat releasing tube and on the dynamics of changing the heater temperature and pressure in a flow of liquid (water, ethanol) subcooled to saturation temperature in the channel under nonstationary heat release conditions are represented. It was revealed that the dependence of the expectation time of intense bubble growth on the water motion velocity is nonmonotonic.     

单环路平板脉动热管定向循环的数值研究

根据脉动热管薄液膜蒸发和凝结相变换热的特点,对基于体积分数法的VOF相变进行了改进,建立了单环路板式脉动热管的三维流固耦合仿真模型,对高充液率下的定向循环工作特性和传热性能进行了数值研究。结果表明:仿真得到的泡状流,柱塞流以及环状流的分布以及转换规律和可视化实验结果较好吻合;在一定的充液率下,随着热负荷的增加,热阻先减小,然后上升,充液率越低,热阻越小,和实验结果的热阻误差在10%以内。分析发现,除了相变换热系数,脉动热管的热阻还和系统压力密切有关,高充液率、高功率下,内部压力(相变温度)上升过快,是其热阻升高的主要原因之一。     

Vortex pattern of the turbulent flow around a single cube on a flat surface and its heat transfer at different attack angles

Experimental results on convective heat transfer from a single cube on a flat surface are presented for different attack angles to the incident flow and Reynolds numbers. The character of vortex formation and the effect of flow structure on heat transfer at detached flow around a cube were studied by visualization. Local heat transfer and heat transfer averaged over the separate faces and the whole lateral surface of the cube were studied. Contribution of separate cube faces to total heat transfer depending on the attack angle was estimated. Data obtained were compared with those published in literature. The reasons for observed differences caused by the effect of many factors: boundary layer thickness, turbulence level of the incident flow, channel constraint, etc., are analysed.     

双液滴撞击平面液膜的流动与传热特性

采用耦合的水平集-体积分数法(CLSVOF)对双液滴连续撞击恒定壁温壁面上的热液膜的流动和换热特性进行了数值模拟及分析,得到了双液滴撞击热液膜后形态演变的过程.分析了液滴垂直间距、撞击速度、液膜厚度以及液滴直径对双液滴撞击液膜后的流动与传热特性的影响,结果显示,壁面平均热流密度随液滴撞击速度的增大而增大,液滴垂直间距、液膜厚度和液滴直径对平均热流密度的影响较小,但会对热流密度在撞击区域和交界区的分布产生重要影响.     

Dimensionless heat transfer correlations for estimating edge heat loss in a flat plate absorber

Data obtained from heat transfer relations discretized with the finite element method were used in developing dimensionless correlations, which led to determining prediction equations for the average edge temperature of a flat plate absorber. For a prescribed flux, if parameters like the incident radiation intensity, edge insulation thermal conductivity and ambient temperature are known, the value of the edge temperature variable is immediately determined. A range of edge-to-absorptive area ratios is considered, as well as the effects of the edge insulation on enhancing thermal performance. Notably, the edge loss is high in absorbers with high edge-to-absorptive area ratios and ambient conditions with low h _a and T _a . In extreme operating conditions, however, the loss can be employed of a high proportion. As a result, prediction equations are obtained, which can be employed in design and simulation so as to minimize useful energy losses and thereby improve efficiency.     

Application of He's homotopy perturbation method to boundary layer flow and convection heat transfer over a flat plate

In this Letter, the problem of forced convection over a horizontal flat plate is presented and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. It has been attempted to show the capabilities and wide-range applications of the homotopy perturbation method in comparison with the previous ones in solving heat transfer problems. The obtained solutions, in comparison with the exact solutions admit a remarkable accuracy. A clear conclusion can be drawn from the numerical results that the HPM provides highly accurate numerical solutions for nonlinear differential equations.     

恒热流边界条件下流体横掠多孔介质中平板的边界层分析

基于Brinkman-Forchheimer-extended Darcy流动模型,对恒热流条件下流体横掠多孔介质中平板的强制对流进行了边界层分析。通过建立二维流动的连续方程、动量方程和考虑流体与多孔介质局部非热平衡时的能量方程,应用数量级分析和积分的方法对方程组进行简化和求解,得出了流体的速度分布、温度分布、速度边界层和温度边界层的厚度、对流传热的理论关联式。研究结果表明:恒热流条件下流体横掠多孔介质中平板的速度边界层与光板时完全不同,其在平板前端迅速增长,随后沿着流动方向变得非常平坦并趋于一定值;而温度边界层的厚度发展则与光板时类似,沿着流动方向不断增长,且与壁面处热流密度的大小无关。     

Phase-field simulation of a Fe-Mn alloy under forced flow conditions

In this work a study through numerical simulation of dendritic growth for the system Fe-Mn under the influence of a forced flow field is presented. The investigations are based on an extension of the quantitative phase-field approach developed by Echebarria et. al. Phy. Rev. E 061604 (2004), to simulate the solidification of Fe-Mn under the influence of a forced flow field. The simulations are performed for isothermal conditions and the investigation concentrates on the effects of forced flow on the dendrite morphology during the growth dynamics. The effects of forced flow on microsegregation are also discussed.     

Further results on the variable viscosity with magnetic field on flow and heat transfer to a continuous moving flat plate

The steady, laminar-boundary-layer flow along an isothermal, continuously moving, flat plate is studied taking into account the variation of viscosity with temperature in the presence of a magnetic field. The fluid viscosity is assumed to vary as a linear function of temperature. The resulting, governing equations are non-dimensionalized and are transformed using a similarity transformation and then solved numerically by the shooting method. Comparison with previously published work is performed and full agreement is obtained. A parametric study of all parameters involved is conducted, and a representative set of numerical results for the velocity and temperature profiles as well as the skin-friction parameter and the Nusselt number is illustrated graphically to show typical trends of the solutions. It is worth pointing out that, when the variation of viscosity with temperature is strong in the presence of the effect of a magnetic field, the results of the present work are completely different from those that studied the same problem in the absence of magnetic field.     

Separated flow noise of a flat plate at large attack angles

Flow noise associated with separated flow of a flat plate with large attack angles was studied experimentally to obtain its acoustic characteristics and to understand its generation mechanism. The acoustic features show that the separated flow noise could be attributed to acoustic dipole sources associated with the wall-pressure fluctuations on the plate surface. The time derivative of the fluctuating wall-surface pressure is highly correlated with the associated acoustic pressure. The noise intensity source strength is proportional to the mean-square time derivative of the fluctuating surface pressure and its correlation area, being proportional to the sixth power of the oncoming flow velocity and distributed uniformly over the plate surfaces. The associated acoustic intensity is well predicted by these noise source strength distributions.     

Influence of nucleation on the flow boiling heat transfer coefficient of a refrigerant mixture under varied heat flux conditions

The influence of nucleation on the flow boiling heat transfer coefficient of R-134a/R-290/R-600a refrigerant mixture is experimentally studied in a smooth horizontal tube of 12.7 mm diameter. The heat transfer coefficients are experimentally measured for stratified flow patterns under a varied heat flux condition; a condition found in the evaporator of refrigerators and deep freezers. The experiments are conducted in a counter-current heat exchanger test section. By regulating the flow rate and inlet temperature of acetone, which is the heating fluid flowing in the outer tube, a varied heat flux is provided to the refrigerant flowing in the inner tube. The refrigerant mass flow rate is fixed between 3 and 5 g s⁻¹ and its inlet temperature between −8.59 and 5.33°C, which corresponds to a pressure of 3.2 to 5 bar. The significance of nucleate boiling prevailing in the above-mentioned evaporators is highlighted. The experimental heat transfer coefficients are also compared with well known heat transfer correlations.     

Estimation of the stresses in a coating growing on a flat plate under nonisothermal conditions

A mathematical model of a coating which grows during magnetron sputtering has been formulated and investigated. To estimate the average mechanical stresses, both the thermal and the chemical diffusion contribution are taken into account. It has been shown that the kinetics of the reaction on the surface is no less important in the evolution of stresses than the relationship between the mechanical properties of the growing coating and of the substrate.     

液氮流动沸腾换热研究综述

作为一种优良的低温冷却剂,液氮在航天、电子工业、超导磁体和超导电缆冷却及低温生物医疗等领域应用广泛。在这些应用中,准确预测液氮的流动沸腾换热特性对于系统设计和安全运行十分重要。该文主要介绍了液氮流动沸腾换热的特点,对已有的实验和数值模拟结果进行了归纳;并比较了四个液氮流动沸腾换热计算关联式的预测情况,以及关联式中干度、质量流量、热流密度和压力对换热系数的影响;指出了有待进一步研究的课题。     

Investigation of transient processes at liquid boiling under nonstationary heat generation conditions

The paper presents results on experimentally investigated dynamics of boiling development and formation of film boiling zones under stepwise heat generation on a horizontally and vertically oriented cylindrical surface in a large volume of Freon-21. Experimental data on the expectation time and boiling temperature, the propagation velocity and structure of evaporation and boiling fronts for different heat flux density both in saturated liquid and in subcooling conditions are obtained. Results of experiments on investigating the nucleation forms under development of nonstationary heat release crisis caused by heat loading on the vertical heater immersed into the volume of liquid (water, ethanol) subcooled to saturation temperature are presented. A calculation ratio for determining the expectation time to the beginning of intense vaporization in water is proposed and compared with experimental data obtained on surfaces with different-size roughness. Peculiarities of evolution of evaporation fronts from incipient bubbles are investigated in the experiments with ethanol. Data on the evaporation front velocity as a function of wall overheating are obtained. The obtained experimental data on the propagation velocity of self-sustained evaporation fronts are compared with the known calculated data.     

Features of dry spot evolution at the film flow of cryogenic liquids at non-stationary heat release

Transitional processes with dry spot formation and drying crisis development were studied experimentally for the gradual and quasi-stationary laws of heat release on a thin-wall heater cooled by a falling film of cryogenic liquid. It is shown that for low densities of the heat flux, the laminar-wave liquid film decays with formation of a self-organizing system of metastable regular structures with boiling liquid jets and large dry zones between them. The numerical experiment modelling the process of repeated wetting of a superheated surface dried by impulse heat release was carried out. It was found for the first time that the local motion velocities of different zones of the 2D wetting front differ significantly. Reliability of results obtained by numerical methods was proved by direct comparison with experimental data. The work was financially supported by the Russian Foundation for Basic Research (Grant No. 5-08-18022-a) and Siberian Branch of RAS (Integration project of SB RAS together with ITP of UB RAS No. 2.5).     

Mathematical modeling of rotation effects on conjugate heat and mass transfer at a high-enthalpy flow around a spherically blunted cone at incidence

Some methods of thermal regime control for three dimensional flows around a body due to the simultaneous impact of body rotation around the longitudinal axis, mass ablative surface, and heat transfer flow in the body shell material are considered. The solution to the dual formulation allows us to take into account the impact of nonisothermal shell wall on the characteristics of heat and mass transfer in the boundary layer. The effect of the body rotation and the injection of cooler gas on the characteristics of heat and mass exchange in a thermal protection material is analyzed.     

Convective heat transfer in axisymmetric enclosures of different configurations under the conditions of their axial rotation and external heating

The phenomenon of the intensification of convective heat transfer through air cavities under the conditions of their axial rotation and external heating based on the rise of centrifugal body forces in differently heated air medium has been substantiated theoretically and confirmed experimentally. The criterion dependencies for convection coefficients of axisymmetric cylindrical and conical closed air cavities subjected to external heating and axial rotation have been obtained using the results of the physical and numerical experiments. Both single-layer cylindrical cavities and two-layer ones with perforating internal orifices have been considered.     

Numerical investigation of incompressible fluid flow and heat transfer around a rotating circular cylinder

The heat transfer and air flow around an unconfined heated rotating circular cylinder is investigated numerically for varying rotation rates (α = 0–6) in the Reynolds number range of 20–200. The numerical calculations are carried out by using a finite volume method based commercial computational fluid dynamics solver FLUENT. The successive changes in the flow pattern are studied as a function of the rotation rate. Suppression of vortex shedding occurs as the rotation rate increases (α > 2). A second kind of instability appears for higher rotation speed where a series of counter-clockwise vortices is shed in the upper shear layer. The rotation attenuates the secondary instability and increases the critical Reynolds number for the appearance of this instability. Besides, time-averaged (lift and drag coefficients and Nusselt number) results are obtained and compared with the literature data. A good agreement has been obtained for both the local and averaged values.     

Effect of boundary heat flux on solidification in a forced liquid metal flow: a phase-field simulation

A phase-field model coupling with velocity field is employed to study the effect of boundary heat flux on the microstructure formation of a Ni-40.8%Cu alloy with liquid flow during the solidification, and an anti-trapping current is introduced to suppress the solute trapping due to the larger interface width used in simulations than a real solidifying material. The effect of the flow field coupling with boundary heat extractions on the microstructure formation as well as distributions of concentration and temperature fields are analyzed and discussed. The forced liquid flow can significantly affect the heat and solute diffusions, thus influencing morphology formation, concentration and temperature distributions during the solidification. The solute segregation and concentration diffusion are changed by boundary heat extractions, and the morphology, concentration and temperature distributions are significantly influenced by increasing the heat extraction, which relatively makes the effect of liquid flow constrained. By increasing the initial velocity of liquid flow, the lopsided rate of the primary dendrite arm is enlarged and the growth manner of dendrite arms gets changed, and the transition of the microstructure from dendrite to cellular moves to the large heat extraction direction. Therefore, there exists the competition between the heat flux, temperature gradient and forced liquid flow that finally determines the microstructure formation during directional solidification.     

Physics of bifurcation of the flow and heat transfer through a curved duct with natural and forced convection

In the ongoing exploration, a mathematical model is analyzed to study the combined effects of centrifugal and buoyancy forces on fluid flow and heat transfer through a curved square duct of fixed curvature, $\delta =0.1$. The outer and bottom walls of the duct are heated while the inner and ceiling walls are in room temperature. Firstly, grid efficiency for different Grashof numbers is checked with evaluating percent relative errors and then the accuracy of the numerical investigation with numerous articles is also compared. After numerical calculation, the steady solution branches with their linear stability have been performed by adopting spectral method. As a result, two branches of asymmetric steady solutions are obtained comprising with two- to four-vortex solutions. Linear stability analysis shows that only the first branch is linearly stable while the other branch is linearly unstable. It is found that the flow is stable at small values of Dean (Dn) whatever the Grashof (Gr) number is, and the stability is delayed as the Grashof number is increased. A substantial interaction is observed between the steady solution branches and the secondary flow structure. A diagram has also been presented which describes the creation of vortex structure of secondary flows for various Dn and Gr. Time history analysis shows that for $Gr=200$ periodic flow turns into steady-state flow before turning into periodic or multi-periodic oscillation once. For Gr > 200, however, the flow undergoes "multi-periodic/periodic → steady-state'', if Dn is increased. Phase space and power spectrum are obtained to confirm the non-linear characteristics of the flow. Nusselt numbers are computed as an exponent of heat transfer and it is detected that convective heat transfers to periodic and multi-periodic flows have boosted significantly more than steady-state flows. Finally, A comparison among the numerical data and experimental results has been conferred which has shown that there is good consent between them.