Analytical solution for the problem of one-dimensional quasi-steady non-charring ablation in a semi-infinite solid with temperature-dependent thermo-physical properties

Author(s):  
Sumio Kato ◽  
Shoichi Matsuda
2020 ◽  
Vol 51 (6) ◽  
pp. 2843-2861
Author(s):  
D. Obiso ◽  
D. H. Schwitalla ◽  
I. Korobeinikov ◽  
B. Meyer ◽  
M. Reuter ◽  
...  

AbstractThe motion of bubbles in a liquid slag bath with temperature gradients is investigated by means of 3D fluid dynamic computations. The goal of the work is to describe the dynamics of the rising bubbles, taking into account the temperature dependency of the thermo-physical properties of the slag. Attention is paid to the modeling approach used for the slag properties and how this affects the simulation of the bubble motion. In particular, the usage of constant values is compared to the usage of temperature-dependent data, taken from models available in the literature and from in-house experimental measurements. Although the present study focuses on temperature gradients, the consideration of varying thermo-physical properties is greatly relevant for the fluid dynamic modeling of reactive slag baths, since the same effect is given by heterogeneous species and solid fraction distributions. CFD is applied to evaluate the bubble dynamics in terms of the rising path, terminal bubble shape, and velocity, the gas–liquid interface area, and the appearance of break-up phenomena. It is shown that the presence of a thermal gradient strongly acts on the gas–liquid interaction when the temperature-dependent properties are considered. Furthermore, the use of literature models and experimental data produces different results, demonstrating the importance of correctly modeling the slag’s thermo-physical properties.


2016 ◽  
Vol 13 (5) ◽  
pp. 399-406 ◽  
Author(s):  
Rabah Nebbati ◽  
Mahfoud Kadja

Purpose The purpose of this study is the numerical prediction of the thermal and hydraulic characteristics (Nusselt number and shear stress) of a forced convection laminar flow through a rectangular micro-channel heat sink, using constant and temperature-dependent thermo-physical properties. The effects of the solids volume fraction and the size of the micro-channel on heat transfer enhancement have also been investigated. Design/methodology/approach The authors use the flow of a water-Al2O3 nanofluid and a single-phase approach. The equations are solved using the commercial code Fluent Version 6.3. This code uses the finite volume approach to solve the equations subject to the boundary conditions, which govern three-dimensional conjugate convection-conduction heat transfer model. The physical domain was meshed using the code GAMBIT. The mesh used is non-uniform and was obtained by sweeping in the Z direction an X-Y surface meshed with QUAD/pave type cells. Findings The results clearly show that the inclusion of nanoparticles produces a considerable increase in the heat transfer. Also, the temperature-dependent models present higher values of local and average Nusselt number than in the case of constant thermo-physical properties, and an increase in the channel dimensions leads to an important increase in heat transfer. Consequently, we ensure a better cooling of the base of the micro-channel heat sink. Research limitations/implications Because of the settling of nanoparticles, the research results may not be generalized to high values of solids volume fraction. Therefore, researchers are encouraged to find other techniques of cooling when the heat loads exceed values that cannot be dissipated using nanonofluids. Practical implications The paper includes implications for the miniaturization of electronic devices such as in microprocessors or those used in robotics and automotive industries, where continually increasing power densities are requiring more innovative techniques of heat dissipation from a small area and small coolant requirements. Originality/value This paper shows the implementation of variable property nanofluid models in CFD commercial codes.


Volume 4 ◽  
2004 ◽  
Author(s):  
Auro C. Pontedeiro ◽  
Renato M. Cotta ◽  
Jian Su

This paper presents improved lumped-differential formulations for one dimensional transient heat conduction in a heat generating cylinder with temperature-dependent thermo-physical properties. Two points Hermite approximations for integrals (H1,1/H1,1) are used to approximate the average temperature and the heat flux in the radial direction. As a testing case, transient heat conduction in a nuclear fuel rod was computed with the thermo-physical properties represented by correlations from MATPRO — a Library of Materials Properties for Light-Water-Reactor Accident Analysis. The problem was formulated and solved using the symbolic/numerical computation software system MATHEMATICA. The solution of the proposed improved lumped models is validated by a numerical solution of the original distributed parameter formulation.


2018 ◽  
Vol 124 ◽  
pp. 98-109 ◽  
Author(s):  
T.R. Pavlov ◽  
D. Staicu ◽  
L. Vlahovic ◽  
R.J.M. Konings ◽  
P. Van Uffelen ◽  
...  

BIBECHANA ◽  
2021 ◽  
Vol 18 (1) ◽  
pp. 149-158
Author(s):  
I B Bhandari ◽  
N Panthi ◽  
I Koirala

This research explores mixing behaviour of liquid In – Tl system through thermodynamic and the structural properties on the basis of Complex Formation Model. The properties like surface tension and viscosity have been analyzed through simple statistical model and Moelwyn – Hughes equation. The interaction parameters are found to be positive, concentration independent and temperature dependent. Theoretical results are in a good agreement with the corresponding literature data which support homo-coordinating tendency in the liquid In-Tl alloy. BIBECHANA 18 (2021) 149-158


Author(s):  
Joaquin Zueco ◽  
O. Anwar Be´g

An iterative approach is presented to determine the temperature-dependent thermo-physical properties from the temperature measurements taken at various points of the medium. Network Simulation Method (NSM) is used as the numerical tool in the form of an inverse problem to obtain a stable and exact numerical solution for simultaneously estimating thermal conductivity and specific heat. The approach provides estimations of the functions k(T) and ce(T), regardless of the waveform of those functions even without a priori information on the kind of dependence concerned. The solutions are reached by a piece-wise functions, whose number of stretches may be specified. The input data (temperature measurements) are obtained from an experimental installation has been designed and using various points of measurement in different solid materials. The sensitivity of the functional versus the slope of the line, at each step, is acceptable and the complete piece-wise solution is very close to the exact thermo-physical properties in all the cases studied. The proposed general procedure may be applied regardless of the kind of temperature dependence for k(T) and ce(T) as long as these are continuous temperature functions given by an explicit mathematical function or by a finite stretches piece-wise function. The estimations of k(T) and ce(T) are piece-wise functions with a number of stretches that may be specified to approximate the inverse solutions to the exact values as much as required. The typical functional of these problems contains the simulated measured data taken at three points of the solid. These measurements are compared in the functional with the solution of the partial inverse problem by applying NSM as the numerical technique in each iteration, in order to estimate each of the stretches that conform the whole piece-wise estimation. NSM has been successfully applied before to solve both DHCP and IHCP. Among the advantages of this method is the fact that no mathematical manipulations or convergence criteria are needed to solve the finite difference equations resulting from the discretization of the partial difference equations of the mathematical model. Both tasks are carried out by the powerful software used to solve the network model. The close agreement between the exact solutions and the estimated results shows the potential of the proposed method in finding the accurate value of the temperature-dependent thermo-physical properties in inverse heat conduction problem.


Author(s):  
Sukumar Pati ◽  
Vishwanath Kumar

In this paper, the influence of temperature-dependent thermo-physical properties is investigated on the decay of swirl in a laminar swirling flow of liquid through a heated microtube. The conservation equations for mass, momentum, and energy are numerically solved to obtain the velocity and temperature fields. The decay of swirl is quantified by the variation of the ratio of swirl number at a section to that at the inlet ( S/ S0) along the flow. The results reveal that constant property simulations result in faster swirl decay as compared to the variable-property simulations. Further, the implications of slip length, inlet swirl number, inlet swirl velocity profile, and Reynolds number on the swirl decay are presented. The results of the present analysis bear significant technological consequences in the design of micro-heat exchangers with intrinsic rotationalities.


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