Bubble population phenomena in acoustic cavitation

Numerical simulation of heat transfer and fluid flow past a rotating isothermal cylinder – A LBM approach

http://people.ku.edu/~z190z415/publications/ijhff2008.pdf

Study of heat-transfer on the surface of a circular cylinder in flow using an immersed-boundary method

Part I: Approximate Solutions Analytical Methods for the Estimation of Heat Transfer from Nonisothermal Walls Basic Equations Self-Similar Solutions of the Boundary Layer Equations Solutions of the Boundary Layer Equations in the Power Series Integral Methods Method of Superposition Solutions of the Boundary Layer Equations in the Series of Shape Parameters Approximate Solutions of Conjugate Problems in Convective Heat Transfer Formulation of a Conjugate Problem of Convective Heat Transfer The Case of Linear Velocity Distribution across the Thermal Boundary Layer The Case of Uniform Velocity Distribution across the Thermal Boundary Layer (Slug Flow) Solutions of the Conjugate Convective Heat Transfer Problems in the Power Series Solutions of the Conjugate Heat Transfer Problems by Integral Methods Part II: Theory and Methods Heat Transfer from Arbitrary Nonisothermal Surfaces in a Laminar Flow The Exact Solution of the Thermal Boundary Layer Equation for an Arbitrary Surface Temperature Distribution Generalization for an Arbitrary Velocity Gradient in a Free Stream Flow General Form of the Influence Function of the Unheated Zone: Convergence of the Series The Exact Solution of the Thermal Boundary Layer Equation for an Arbitrary Surface Heat Flux Distribution Temperature Distribution on an Adiabatic Surface in an Impingent Flow The Exact Solution of an Unsteady Thermal Boundary Layer Equation for Arbitrary Surface Temperature Distribution The Exact Solution of a Thermal Boundary Layer Equation for a Surface with Arbitrary Temperature in a Compressible Flow The Exact Solution of a Thermal Boundary Layer Equation for a Moving Continuous Surface with Arbitrary Temperature Distribution The Other Solution of a Thermal Boundary Layer Equation for an Arbitrary Surface Temperature Distribution Heat Transfer from Arbitrary Nonisothermal Surfaces in Turbulent Flow Basis Relations for the Equilibrium Boundary Layer Solution of the Thermal Turbulent Boundary Layer Equation for an Arbitrary Surface Temperature Distribution Intensity of Heat Transfer from an Isothermal Surface: Comparison with Experimental Data The Effect of the Turbulent Prandtl Number on Heat Transfer on Flat Plates Coefficients gk of Heat Flux Series for Nonisothermal Surfaces Approximate Relations for Heat Flux in a Transition Regime General Properties of Nonisothermal and Conjugate Heat Transfer The Effect of Temperature Head Distribution on Heat Transfer Intensity Gradient Analogy and Reynolds Analogy Heat Flux Inversion Zero Heat Transfer Surfaces Examples of Optimizing Heat Transfer in Flow over Bodies Analytical Methods for Solving Conjugate Convective Heat Transfer Problems A Biot Number as a Criterion of the Conjugate Heat Transfer Rate General Boundary Condition for Convective Heat Transfer Problems: Errors Caused by Boundary Condition of the Third Kind Reduction of a Conjugate Convective Heat Transfer Problem to an Equivalent Heat Conduction Problem Temperature Singularities on the Solid-Fluid Interface Universal Functions for Solving Conjugate Heat Transfer Problems - Solution Examples Reducing the Unsteady Conjugate Convective Heat Transfer Problem to an Equivalent Heat Conduction Problem Integral Transforms and Similar Methods Solutions in Asymptotic Series in Eigenfunctions Superposition and Other Methods Green's Function and the Method of Perturbation Numerical Methods for Solving Conjugate Convective Heat Transfer Problems Analytical and Numerical Methods Approximate Analytical and Numerical Methods for Solving Differential Equations Difficulties in Computing Convection-Diffusion and Flow Numerical Methods of Conjugation Examples of Numerical Studies of the Conjugate Convective Heat Transfer in Pipes and Channels Examples of Numerical Studies of the Conjugate Convective Heat Transfer in Flows around and inside Bodies Part III: Applications Thermal Treatment of Materials Moving Materials Undergoing Thermal Processing Simulation of Industrial Processes Drying of Continuous Moving Materials Technological Processes Multiphase and Phase-Change Processes Drying and Food Processing Manufacturing Equipment Operation Heat Exchangers and Finned Surfaces Cooling Systems Conclusion

Conjugate Problems in Convective Heat Transfer

A review of conjugate convective heat transfer problems solved during the early and current time of development of this modern approach is presented. The discussion is based on analytical solutions of selected typical relatively simple conjugate problems including steady-state and transient processes, thermal material treatment, and heat and mass transfer in drying. This brief survey is accompanied by the list of almost two hundred publications considering application of different more and less complex analytical and numerical conjugate models for simulating technology processes and industrial devices from aerospace systems to food production. The references are combined in the groups of works studying similar problems so that each of the groups corresponds to one of selected analytical solutions considered in detail. Such structure of review gives the reader the understanding of early and current situation in conjugate convective heat transfer modeling and makes possible to use the information presented as an introduction to this area on the one hand, and to find more complicated publications of interest on the other hand.

/pdf/conjugate-problems-in-convective-heat-transfer-review-2wneto4os4.pdf

Conjugate Problems in Convective Heat Transfer: Review

A Fredholm-type boundary integral expression for evaluation of the forced convection heat transfer from an object with arbitrary surface temperature distributions is proposed. The Fredholm kernel function for a heated circular cylinder was calculated by numerical simulation of the forced convection fields, and then generalized heat transfer coefficients for arbitrary surface temperature distributions were defined. By use of the generalized heat transfer coefficients, it is shown that the difference in local heat transfer characteristics between the case of an isothermal cylinder and that of a uniform heat flux one can be interpreted only as the difference of the surface temperature distributions. Moreover, the mechanism of the effect of the surface temperature distribution on the characteristics of forced convection heat transfer from a cylinder is clarified in detail through the generalized heat transfer coefficients. © 1999 Scripta Technica, Heat Trans Asian Res, 28(6): 484–499, 1999

Forced convection heat transfer from a heated circular cylinder with arbitrary surface temperature distributions

This paper presents a new methodology for the inverse analysis of time-dependent two-phase Stefan problems. The problem considered here is that of determining the time dependence of a phase-change interface at several observed temperatures. In our method, imaginary heat sources are arranged in an imaginary domain and then the phase-change interface is identified as the isothermal surface at the melting temperature by controlling the imaginary heat source intensities. Using delta-function imaginary heat sources and their corresponding Green functions, which are pre-calculated numerically, it is shown that the phase-change interface is determined non-iteratively at each time step. We offer numerical examples to demonstrate the capability of the proposed method. © 1998 Scripta Technica, Heat Trans Jpn Res, 27(3): 179–191, 1998

An inverse analysis of two-phase Stefan problems using imaginary heat sources

A highly convenient design support method and design support system for a heat convection field or a mass diffusion field which significantly reduce the number of times of numerical simulation required to examine the designing parameters for achieving the design purpose. The design support method includes a forward analysis step of analyzing the heat convection field or the mass diffusion field by solving an equation of the heat convection field or the mass diffusion field based on an initially set value of a designing parameter, an inverse analysis step of analyzing a sensitivity defined by a change ratio of the design purpose to a designing parameter change by solving an adjoint equation corresponding to the design purpose based on the set design purpose, and a sensitivity display step of displaying information on the sensitivity analyzed by inverse analysis step as a graphic image on the display device.

Design support method, design support system, and design support program for heat convection field

A reverse computation based on adjoint formulation of forced convection heat transfer is proposed to obtain the optimal thermal boundary conditions for heat transfer characteristics; for example, a total heat transfer rate or a temperature at a specific location. In the reverse analysis via adjoint formulation, the heat flow is reversed in both time and space. Thus, using the numerical solution of the adjoint problem, we can inversely predict the boundary condition effects on the heat transfer characteristics. As a result, we can obtain the optimal thermal boundary conditions in both time and space to control the heat transfer at any given time. © 2004 Wiley Periodicals, Inc. Heat Trans Asian Res, 33(3): 161–174, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/htj.20002

Reverse computation of forced convection heat transfer for optimal control of thermal boundary conditions

A combined approach of analytical and numerical methods is proposed for the optimal arrangement of n heat sources to achieve the desired temperatures at m locations. From the characteristics of Green's function under a point-source approximation, it is shown that the optimal heat-source intensities can be determined non iteratively by executing n + 1 or m + 1 numerical simulations of heat conduction equations. Using the results of m + 1 numerical simulations, the optimal heat-source locations can also be obtained by the conventional gradient-based optimization strategy without additional numerical simulations. Moreover, these numerical simulations are independent of the existence of heat sources and of the desired temperatures. Therefore further numerical simulations are not required even if the number of heat sources and the desired temperatures are changed.

Kazunari Momose

Papers

Forced convection heat transfer from a heated circular cylinder with arbitrary surface temperature distributions

An inverse analysis of two-phase Stefan problems using imaginary heat sources

Design support method, design support system, and design support program for heat convection field

Reverse computation of forced convection heat transfer for optimal control of thermal boundary conditions

Green's Function Approach to Optimal Arrangement of Heat Sources in Heat Conductor.