Papers by Mikhail Mikhailov
NATO Science Series II: Mathematics, Physics and Chemistry, 2005
Computation of stabilized turbulent fluid flow and heat transfer in circular smooth pipes for moderate Prandtl numbers. Part 1. Fluid flow and eddy diffusivity
Measurement Techniques
Thermocouples and thin cylindrical wires are used for measuring the temperature of fluid flows. I... more Thermocouples and thin cylindrical wires are used for measuring the temperature of fluid flows. In a number of technical problems, such as the study of turbulence [1], the measurement of temperature in cylindrical engines, et al., it is necessary to take into account the thermal inertia of thermoelements which operate at an ambient temperature and with a heat transfer which vary harmonically.
Journal of Engineering Physics
The Laplace txansform is used to determine the temperature field of a wall exposed to an asymmetr... more The Laplace txansform is used to determine the temperature field of a wall exposed to an asymmetric stepwise temperature cycle. A formula is obtained for the amount of heat stored in a semi-infinite slab, A graph is presented, together with numerical calculations based on the theory described.
Journal of Engineering Physics and Thermophysics
The other method of inversion involves the expansion of the integrated -/4 function in an exponen... more The other method of inversion involves the expansion of the integrated -/4 function in an exponential series. It requires finding the roots of transcendental equations and leads t o solutions which converge well for small time values, as a matter of fact, they converge the better, the smaller the time.
Journal of Engineering Physics
A mathematical model has been created in for heat transfer processes with porous cooling, aLlowin... more A mathematical model has been created in for heat transfer processes with porous cooling, aLlowing for the temperature difference between the porous skeleton and the cooling agent. In [2] an investigation was made of this temperature difference as a function of the porosity of the waLl, the internal heat transfer coefficient, and the Peclet number of the coolant. According to , the temperatures of the solid skeleton and of the coolant scarcely differ at any point of the body. A similar result was obtained in . Thus, the model postuiated in [4] is quite accurate. Some stationary problems have been examined in [5-10] on the basis of this model. In a recently published paper [11], problems were solved for three different bodies: an infinite plate, a thin-walled cylindrical tube, and a hoLlow sphere. The present paper examines the same problems, but for a thick-waLled tube and sphere.
Luikov's set of differential equations, the drying of a layer of moist material in contact with a... more Luikov's set of differential equations, the drying of a layer of moist material in contact with a hot plate is investigated. In this journal the same problem is studied by Bruin [l] with the simplifying assumption that the moisture movement under influence of moisture potential gradient is negligible. The present analysis is based on an exact analytical solution without the mentioned restriction. The influence of dimensionless parameters on the temperature and moisture potential distributions is illustrated by numerical examples.
The problems of nonisothermal fluid Row between parallel plates and in a circular tube are solved... more The problems of nonisothermal fluid Row between parallel plates and in a circular tube are solved for the case when the thermal conductivity and viscosity are functions of temperature. The solutions are obtained using formula manipulation techniques.
Mathematical Modelling of Heat Transfer in Single Duct and Double Pipe Exchangers
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Finite Element Analysis of Heat Exchangers
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Drying Technology
The last time I met Professor Alexei Vasilievich Luikov was at the International School (4-10 Jun... more The last time I met Professor Alexei Vasilievich Luikov was at the International School (4-10 June'74) organized by his Institute for Heat and Mass Transfer in Minsk. As always he was fu11 of new ideas. A week after my return to Sofia I received the cable announcing of his sudden and untimely death. And now ten years have passed without him.
Finite Element Analysis of Turbulent Flow Heat Transfer in Rod Bundles
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Heat Transfer in Concurrent Flow Double Pipe Heat Exchangers
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Performing heat transfer calculations has never been more efficient. This heat transfer software ... more Performing heat transfer calculations has never been more efficient. This heat transfer software and the accompanying user’s manual were designed to support any undergraduate-level heat transfer book, and allow users familiar with the physical aspect of heat transfer problems to solve practical heat transfer problems without an extensive mathematical background. By using this software, students and practicing engineers alike can easily and accurately calculate heat fluxes, heat transfer coefficients and temperature distributions, and examine the effects of dimensions, geometry, material properties, boundary conditions, and other parameters. The program cover fourteen different topics, including: 1_Steady-State Heat Conduction, 2_Composite Medium, 3_Lumped Analysis, 4_Transient Conduction, 5_Fins, 6_Forced Convection, 7_Free Convection, 8_Filmwise Condensation, 9_Nucleate Boiling, 10_Film Boiling, 11_Blackbody Radiation Functions, 12_View Factors, 13_Radiation Shields, 14_Heat Exchan...
Luikov system of equations for coupled heat and mass transfer within capillary porous bodies is a... more Luikov system of equations for coupled heat and mass transfer within capillary porous bodies is analytically handled through application of the generalized integral transform technique. The problem of temperature and moisture distribution during contact drying of a moist porous sheet is considered to illustrate the development of the present approach. The classical coupled auxiliary problem with the related complex eigenvalues is completely avoided and. instead, two decoupled eigenvalue problems for temperature and moisture are chosen, which are of the conventional Sturm-Liouville type. A set of benchmark results is generated and critically compared with previously reported approximate solutions.
Unified Integral Transform Method
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Papers by Mikhail Mikhailov