Time-dependent heat transfer in a plate with anisotropy of general form under the action of pulsed heat sources

Формалев, В. Ф.; Колесник, С. А.; Kuznetsova, E. L.

doi:10.1134/s0018151x17050066

Cited by 10 publications

(3 citation statements)

References 2 publications

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“…This approach allows to obtain an Equation 18 and use the principle of superposition for each term of Equation 33. Then the temperature of interface boundary w can be found from the solution of the system of transcendental equations obtained by the superposition of solutions (18) for each combined Equation 33 (Equation 34).…”

Section: Resultsmentioning

confidence: 99%

Approximate Analytical Solution of the Problem of Conjugate Heat Transfer Between the Boundary Layer and the Anisotropic Strip

Формалев¹,

Колесник²,

Kuznetsova³

2019

PTQ

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Optimization of technological processes in metallurgy related to transfer and use of heat energy makes more complicated demands for calculation of heat exchange. Therefore, the work, the approximate analytical method for solving the conjugate problems of viscous gas-dynamic boundary layer and thermal conductivity in the anisotropic strip, has been developed. The paper uses modern numerical methods for solving differential equations in partial derivative and analytic methods on the basis of an integral transform of Fourier and Laplace. Boundary equations have been solved analytically with certain simplifications, and the problem of anisotropic heat conduction has been solved analytically. The heat flows are determined analytically by the longitudinal variable at the interface boundary. It has been established that temperature increase of the external surface contributes to that all factors directly impacting on the magnitude of heat flows act towards their reduction. The analytical solution for the problem of thermal conductivity in the anisotropic strip with a general type of anisotropy when the heat flows from the boundary layer are determined at the boundaries is obtained. The conducted research for the temperature of external boundary and heat flow from gas to it demonstrates that with increasing the degree of longitudinal anisotropy the surface temperature of the strip downstream increases from increasing longitudinal heat conduction An original conjugation method using the continuous heat flows, and temperatures at the interface boundary is found. The numerical results for the heat flows and temperatures at the interface boundary have been obtained and analyzed.

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Section: Resultsmentioning

confidence: 99%

Approximate Analytical Solution of the Problem of Conjugate Heat Transfer Between the Boundary Layer and the Anisotropic Strip

Формалев¹,

Колесник²,

Kuznetsova³

2019

PTQ

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“…It was previously believed that polymer flooding was limited to use only in fields with light oil or with medium viscous oil, and thermal oil recovery methods were strictly applied in fields characterized by high viscosity oil (Babaytsev et al, 2017;Kuznetsova and Rabinskiy, 2019;Formalev et al, 2017;Gendler et al, 2019). However, recently in world practice, this provision is no longer observed in connection with the successful use of polymer flooding for highviscosity oil, where thermal methods do not seem feasible (Radyuk et al, 2019;Samarin et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Experimental Support of Field Trial on the Polymer Flooding Technology Substantiation in the Oil Field of Western Kazakhstan

Moldabayeva¹,

Suleimenova²,

Karimova³

et al. 2020

PTQ

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One of the chemical methods of stimulating the reservoir to increase the efficiency of the oil field development process is polymer flooding. This article conducted a feasibility study of the effectiveness of the application of polymer flooding technology in one field in Western Kazakhstan. This field is characterized by high viscosity of reservoir oil, water cut, and dynamic heterogeneity of the reservoir. World experience in the application of polymer flooding in analogous fields shows high technological efficiency. Presented results of the analysis of the experience of applying technology in analogous fields, physicochemical studies of polymers, filtration studies on bulk models, hydrodynamic modeling of polymer flooding and the expected cost-effectiveness of introducing the technology, as applied to the conditions of the Karazhanbas oil field with high viscosity of reservoir oil. The analysis based on the experience of applying polymer flooding in high-viscosity oil fields, laboratory studies and estimated calculations of the expected production in the sector geological and hydrodynamic model shows a decrease in water cut, an increase in oil production, and an increase in current and final oil recovery.

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“…The difference schemes built on different templates are compared based on the model problem of the plane acoustic wave diffraction on the parabolic cylinder, and the use of five-point difference scheme by the spatial variable with the threepoint scheme by the time variable is proposed. This type of problem was considered earlier (Formalev et al, 2015(Formalev et al, , 2016a(Formalev et al, , 2016c(Formalev et al, , 2016b(Formalev et al, , 2017a(Formalev et al, , 2017b(Formalev et al, , 2018b(Formalev et al, , 2018cKolesnik et al, 2015;Formalev and Kolesnik, 2016Okonechnikov et al, 2016;Prokofiev et al, 2016;Babaytsev et al, 2017;Gidaspov and Severina, 2017;Lurie et al, 2017;Bulychev et al, 2018aBulychev et al, , 2018bBulychev et al, , 2018cKuznetsova et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

Non-Stationary Problem of the Plane Oblique Pressure Wave Diffraction on Thin Shell in the Shape of Parabolic Cylinder

Rabinskiy¹

2019

PTQ

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A non-stationary plane problem of the dynamics of thin elastic shell in the form of parabolic cylinder immersed in the fluid under the impact of the plane oblique pressure wave is considered. To solve this problem, a system of equations in the related formulation is constructed. Herewith, the hydroelasticity problems are reduced to the equations of the shell dynamics, the damping effect of fluid is taken into account by introducing an integral convolution type operator in the time domain which in the first approximation allows for accounting the capillary porosity of the shell material. The operator core is a surface transition function of the auxiliary problem of the plane acoustic pressure wave diffraction on a convex surface. The problem is solved approximately based on the thin layer hypothesis. The integral and differential equations of shell motion are solved numerically based on the difference discretization of differential operators and the representation of the integral operator by sum using the trapezium rule.

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Time-dependent heat transfer in a plate with anisotropy of general form under the action of pulsed heat sources

Cited by 10 publications

References 2 publications

Approximate Analytical Solution of the Problem of Conjugate Heat Transfer Between the Boundary Layer and the Anisotropic Strip

Approximate Analytical Solution of the Problem of Conjugate Heat Transfer Between the Boundary Layer and the Anisotropic Strip

Experimental Support of Field Trial on the Polymer Flooding Technology Substantiation in the Oil Field of Western Kazakhstan

Non-Stationary Problem of the Plane Oblique Pressure Wave Diffraction on Thin Shell in the Shape of Parabolic Cylinder

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