Water－Aromatic Liquid－Liquid－Vapour Equilibrium Calculation Using a Cubic Equation of State

Ｗａｔｅｒ－ＡｒｏｍａｔｉｃＬｉｑｕｉｄ－Ｌｉｑｕｉｄ－ＶａｐｏｕｒＥｑｕｉｌｉｂｒｉｕｍＣａｌｃｕｌａｔｉｏｎＵｓｉｎｇａＣｕｂｉｃＥｑｕａｔｉｏｎｏｆＳｔａｔｅＧｕａｎｇｈｕａＧａｏ（ＤｅｐａｒｔｍｅｎｔｏｆＣｈｅｍｉｃａｌＥｎｇｉｎｅｅｒｉｎｇ...     

Calculation of Volume Properties for Saturated Vapour by Using the Modified Truncated Virial Equation

Ｃａｌｃｕｌａｔｉｏｎ　ｏｆ　Ｖｏｌｕｍｅ　Ｐｒｏｐｅｒｔｉｅｓ　ｆｏｒ　Ｓａｔｕｒａｔｅｄ　Ｖａｐｏｕｒ　ｂｙ　Ｕｓｉｎｇ　ｔｈｅ　Ｍｏｄｉｆｉｅｄ　Ｔｒｕｎｃａｔｅｄ　Ｖｉｒｉａｌ　ＥｑｕａｔｉｏｎＣａｌｃｕｌａｔｉｏｎｏｆＶｏｌｕｍｅＰｒｏｐｅ...     

A New Calculation Method of the Axial and Radial Velocity and Grade──Efficiency for High──Efficiency Cyclones

Ａ　Ｎｅｗ　Ｃａｌｃｕｌａｔｉｏｎ　Ｍｅｔｈｏｄ　ｏｆ　ｔｈｅ　Ａｘｉａｌ　ａｎｄ　Ｒａｄｉａｌ　Ｖｅｌｏｃｉｔｙ　ａｎｄ　Ｇｒａｄｅ──Ｅｆｆｉｃｉｅｎｃｙ　ｆｏｒ　Ｈｉｇｈ──Ｅｆｆｉｃｉｅｎｃｙ　ＣｙｃｌｏｎｅｓＡＮｅｗＣａｌｃｕｌａｔｉｏｎＭ...     

Numerical Study of Natural Convection on Horizontal Strips Embedded in an Vertical Adiabatic Substrate

ＮｕｍｅｒｉｃａｌＳｔｕｄｙｏｆＮａｔｕｒａｌＣｏｎｖｅｃｔｉｏｎｏｎＨｏｒｉｚｏｎｔａｌＳｔｒｉｐｓＥｍｂｅｄｄｅｄｉｎａｎＶｅｒｔｉｃａｌＡｄｉａｂａｔｉｃＳｕｂｓｔｒａｔｅＸｉａｏ－ＢｏＷｕ；Ｚｅｎｇ－ＹｕａｎＧｕｏ（Ｄｅｐｔ．ｏｆＥｎｇｉｎｅ...     

Hydrodynamic and Heat Transfer Characteristics of Magnetofluidized Beds

ＨｙｄｒｏｄｙｎａｍｉｃａｎｄＨｅａｔＴｒａｎｓｆｅｒＣｈａｒａｃｔｅｒｉｓｔｉｃｓｏｆＭａｇｎｅｔｏｆｌｕｉｄｉｚｅｄＢｅｄｓＳ．Ｃ．Ｓａｘｅｎａ（ＤｅｐａｒｔｍｅｎｔｏｆＣｈｅｍｉｃａｌＥｎｇｉｎｅｅｒｉｎｇ，ＴｈｅＵｎｉｖｅｒｓｉｔｙｏｆＩｌｌ...     

Boundary Element Method（BEM） for Solving Normal or Inverse Bio—heat Transfer Problem of Biological Bodies with Complex Shape

Ｂｏｕｎｄａｒｙ　Ｅｌｅｍｅｎｔ　Ｍｅｔｈｏｄ　（ＢＥＭ）　ｆｏｒ　Ｓｏｌｖｉｎｇ　Ｎｏｒｍａｌ　ｏｒ　Ｉｎｖｅｒｓｅ　Ｂｉｏ－ｈｅａｔ　Ｔｒａｎｓｆｅｒ　Ｐｒｏｂｌｅｍ　ｏｆ　Ｂｉｏｌｏｇｉｃａｌ　Ｂｏｄｉｅｓ　ｗｉｔｈ　Ｃｏｍｐｌｅｘ　Ｓｈａｐｅ...     

Flow Field Calculations for Afterburner

Ｆｌｏｗ　Ｆｉｅｌｄ　Ｃａｌｃｕｌａｔｉｏｎｓ　ｆｏｒ　ＡｆｔｅｒｂｕｒｎｅｒＦｌｏｗＦｉｅｌｄＣａｌｃｕｌａｔｉｏｎｓｆｏｒＡｆｔｅｒｂｕｒｎｅｒ￥ＺｈａｏＪｉａｎｘｉｎｇ；ＬｉｕＱｕａｎｚｈｏｎｇ；ＬｉｕＨｏｎｇ（ＮａｎｊｉｎｇＵｎｉｖｅｒｓｉｔ...     

Numerical Simulation of the Flow over a Model of the Cavities on a Butterfly Wing

ＮｕｍｅｒｉｃａｌＳｉｍｕｌａｔｉｏｎｏｆｔｈｅＦｌｏｗｏｖｅｒａＭｏｄｅｌｏｆｔｈｅＣａｖｉｔｉｅｓｏｎａＢｕｔｔｅｒｆｌｙＷｉｎｇＲｏｄｒｉｇｕｅＳａｖｏｉｅ；ＹｖｅｓＧａｇｎｏｎ（ＵｎｉｖｅｒｓｉｔｙｄｅＭｏｎｃｔｏｎ，Ｃａｍｐｕｓｄ＇Ｅｄｍｕ...     

Numerical Simulation of 3—D Turbulent Gas—Particle FLows In a Nonslagging Cyclone COmbustor

ＮｕｍｅｒｉｃａｌＳｉｍｕｌａｔｉｏｎｏｆ３－ＤＴｕｒｂｕｌｅｎｔＧａｓ－ＰａｒｔｉｃｌｅＦｌｏｗｓＩｎａＮｏｎｓｌａｇｇｉｎｇＣｙｃｌｏｎｅＣｏｍｂｕｓｔｏｒ￥ＢｉａｏＺｈｏｕ，ＷｅｎｙｉＬｉｎ，ＬｉｘｉｎｇＺｈｏｕ（ＤｅｐａｒｔｍｅｎｔｏｆＥｎｇ...     

The Thermal Behavior of Coal—Ash Deposits on Heat Exchangers

ＴｈｅＴｈｅｒｍａｌＢｅｈａｖｉｏｒｏｆＣｏａｌ－ＡｓｈＤｅｐｏｓｉｔｓｏｎＨｅａｔＥｘｃｈａｎｇｅｒｓ￥ＪａｍｅｓＬ．Ｓ．Ｃｈｅｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃａｌＥｎｇｉｎｅｅｒｉｎｇ，ＵｎｉｖｅｒｓｉｔｙｏｆＰｉｔｔｓｂｕｒｇｈ，Ｐ...     

The determination temperature-dependent thermal conductivity as inverse steady heat conduction problem

The paper deals with the non-iterative inverse determination of the temperature-dependent thermal conductivity in 2-D steady-state heat conduction problem. The thermal conductivity is modeled as a polynomial function of temperature with the unknown coefficients. The identification of the thermal conductivity is obtained by using the boundary data and additionally from the knowledge of temperature inside the domain. The method of fundamental solutions is used to solve the 2-D heat conduction problem. The golden section search is used to find the optimal place for pseudo-boundary on which are placed the singularities in the frame of method of fundamental solutions.     

Optimization of two-dimensional nonstationary thermal stresses and displacements in a half-space through the use of internal heat sources

A solution to the problem on optimal control for either a displacement-vector or a stress-tensor component in a section of an elastic half-space is presented for the case of plane strain. The power of internal heat sources located in a plane, which is parallel to the boundary surface, is selected to be the control function. Assuming the existence of a control function, which provides an exact lower limit for the uniform deviation of the controlled stress or displacement from their desired or given values, the optimization problem is reduced to an inverse thermoelasticity problem governed by an integral equation of the first kind. The latter equation has been reduced to Volterra integral equations of the first and second kind, whose solutions were found approximately by making use of the linear spline technique.     

A Novel Variational Formulation of Inverse Problem of Heat Conduction with Free Boundary on an Image

ＡＮｏｖｅｌＶａｒｉａｔｉｏｎａｌＦｏｒｍｕｌａｔｉｏｎｏｆＩｎｖｅｒｓｅＰｒｏｂｌｅｍｏｆＨｅａｔＣｏｎｄｕｃｔｉｏｎｗｉｔｈＦｒｅｅＢｏｕｎｄａｒｙｏｎａｎＩｍａｇｅＰｌａｎｅＧａｏ－ＬｉａｎＬｉｕ（ＳｈａｎｇｈａｉＩｎｓｔｉｔｕｔｅｏｆＭｅｃｈ...     

AXISYMMETRIC TEMPERATURE DISTRIBUTIONS ON A TRANSVERSELY ISOTROPIC SEMI-INFINITE SOLID

An exact static solution for the axisymmetric boundary value problem of a transversely isotropic semispace subjected to a point heat source is constructed by similarity transformations. The closed-form expressions for the temperature and components of displacements and stresses are derived. In the particular cases of uniform and parabolic-type temperature distributions on a circular area of the surface, the expressions for the displacements and stresses at a distance z beneath the surface are determined. The Mathematica software is used, and the numerical results are presented on graphs depicting the spatial variation of the displacements and stresses in a semispace of cobalt material.     

An analytical method for solving exact solutions of the convective heat transfer in fully developed laminar flow through a circular tube

This paper proposes an exact solution to the classical Graetz problem in terms of an infinite series represented by a nonlinear partial differential equation considering two space variables, two boundary conditions, and one initial condition. The mathematical derivation utilized the separation of variables method where several stages were completed to reach the solution to the Graetz problem.     

An inverse estimation of surface temperature using the maximum entropy method

The maximum entropy method (MEM) is applied to estimation of surface temperature from temperature readings. The inverse heat conduction problem is reformulated for MEM and a three-phase solution method utilizing the successive quadratic programming (SQP) is addressed. Computational results by the proposed MEM are presented and compared with results by the conventional methods.     

Inverse problem on the identification of temperature and thermal stresses in an FGM hollow cylinder by the surface displacements

A problem on the identification of time-dependent temperature on one of the limiting surfaces of a radially inhomogeneous hollow cylinder is formulated and solved under the temperature and radial displacement given on the other limiting surface. The analysis of temperature and thermal stress distribution in the cylinder is performed. The solution has been constructed by the reduction to an inverse thermoelasticity problem. By making use of the finite difference method, a stable solution algorithm is suggested for the analysis of inverse problem. The solution technique is verified numerically by making use of the solution to a relevant direct problem. It is shown that the proposed technique can be e?ciently used for the identification of a heat flux or unknown parameters (the surrounding temperature or the heat-exchange coe?cient) in the third-kind boundary conditions.     

Estimation of internal fuel cell temperatures from surface temperature measurements

In this paper, a method to monitor PEM fuel cells internal temperature from surface measurements is presented. The aim of this work is to monitor fuel cells to prevent damages due to internal overheating. The measurements are taken at the side of the bipolar plate, and heat flux and temperature at the border of the active zone are estimated. The method is based on sensitivity analysis and inverse problem algorithms. The mathematical formulation and algorithm are described. The model is a transient heat conduction model in two dimensions, the inverse problem is solved with an optimization method using adjoint equation. Numerical test cases are presented for graphite and steel bipolar plates. The results show that internal temperature can be correctly estimated. The response time of the method is limited by the heat transfer rate in the material. Therefore, the method is particularly appropriate to fuel cells made of steel bipolar plates.     

Thermal and rheological effects in a classical Graetz problem using a nonlinear Robertson-Stiff fluid model

The present article elaborates the Graetz problem for the Robertson-Stiff fluid model with imposed iso-thermal conditions. The closed-form expression of Robertson-Stiff fluid velocity is obtained. Employing the classical separation of variables approach, the energy equation of the said problem is reduced into an eigenvalue problem. The solution of the eigenvalue problem is developed numerically via the MATLAB built-in algorithm BVP4C. The constants appearing in series solutions are computed by Simpson's rule. The special case of this analysis with appropriate scaling is also applicable for the Bingham, power-law, and Newtonian fluid models. The impact of the dissipation function on Nusselt numbers and mean temperature is also considered. The pictorial representation of average temp7erature and Nusselt number are discussed in the presence of the plug radius, power-law index, and Brinkman number. It is observed that the presence of the plug radius and power-law index delay the prevalence of fully developed conditions for the Nusselt number. Moreover, the local Nusselt number for channel confinement attains higher values as compared with tube confinement. The present investigation has numerous applications in the field of engineering, nanotechnology, biomedical sciences, and development of several thermal types of equipment or microfluidic devices.     

Finite difference solution of one-dimensional Stefan problem with periodic boundary conditions

A finite difference method is used to solve the one-dimensional Stefan problem with periodic Dirichlet boundary condition. The temperature distribution, the position of the moving boundary and its velocity are evaluated. It is shown that, for given oscillation frequency, both the size of the domain and the oscillation amplitude of the periodically oscillating surface temperature, strongly influence the temperature distribution and the boundary movement. Furthermore, good agreement between the present finite difference results and numerical results obtained previously using the nodal integral method is seen.