Boundary layer of the dissociated gas flow over a porous wall under the conditions of equilibrium dissociation

Obrović, Branko R.; Nikodijević, Dragiša; Savić, Suzana

doi:10.2298/tam0502165o

Cited by 5 publications

(3 citation statements)

References 2 publications

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“…Obtained partial differential equations can be solved for every particular case using modern numerical methods and computer. In this paper, quite different approach is used based on ideas in papers (Skadov, 1963;Loicijanski, 1965;Saljnikov, 1978;Busmarin et al, 1974), which is extended in papers (Boricic et al, 2005;Obrovic et al, 2005;Nikodijevic et al, 2009). Essence of this approach is in introducing adequate transformations and sets of parameters in starting equations, which transform the equations system and corresponding boundary conditions into form unique for all particular problems and this form is considered as universal.…”

Section: Universal Equationsmentioning

confidence: 99%

Generalized similarity method in unsteady two-dimensional MHD boundary layer on the body which temperature varies with time

Nikodijević¹,

Boricic²,

Milenković³

et al. 2010

Int. J. Eng. Sci. Tech

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In this paper, the multiparametric method known as generalized similarity method is used to solve the problem of unsteady temperature two-dimensional MHD laminar boundary layer of incompressible fluid. It is assumed that outer magnetic field induction is function only from longitudinal coordinate. Magnetic field acts perpendicular to the body on which boundary layer forms. Body temperature varies with time. Further, electric field is neglected and value of magnetic Reynolds number is significantly less then one i.e. problem is considered in induction-less approximation. According to temperature differences under 50 o C physical properties of fluid are constant. Introduced assumptions simplify considered problem in sake of mathematical solving, but adopted physical model is interesting from practical point of view, because its relation with large number of technically significant MHD flows. Obtained partial differential equations can be solved with modern numerical methods for every particular problem. In this paper, quite different approach is used. In the first place new variables are introduced and then similarity parameters which enable transformation of equations into universal form. Obtained universal equations and corresponding boundary conditions do not contain explicit characteristics of particular problems. Based on obtained universal equations, approximated universal differential equations of described MHD boundary layer flow problem are derived. Aproximated universal equations do not depend on the particular problems.

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Section: Universal Equationsmentioning

confidence: 99%

Generalized similarity method in unsteady two-dimensional MHD boundary layer on the body which temperature varies with time

Nikodijević¹,

Boricic²,

Milenković³

et al. 2010

Int. J. Eng. Sci. Tech

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show abstract

“…Obtained partial differential equations ( 1), ( 2), (3) can be solved for every particular case using modern numerical methods and computer. In this paper, quite different approach is used based on ideas in papers [6,7,8] which is extended in papers [9,10,11]. Essence of this approach is in introducing adequate transformations and sets of parameters in starting equations of laminar two-dimensional unsteady temperature MHD boundary layer of incompressible fluid, which transform the equations system and corresponding boundary conditions into form unique for all particular problems and this form is considered as universal.…”

Section: Universal Equationsmentioning

confidence: 99%

Universal equations of unsteady two-dimensional MHD boundary layer whose temperature varies with time

Boricic

Nikodijević

Obrović

et al. 2009

Theor appl mech (Belgr)

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This paper concerns with unsteady two-dimensional temperature laminar magnetohydrodynamic (MHD) boundary layer of incompressible fluid. It is assumed that induction of outer magnetic field is function of longitudinal coordinate with force lines perpendicular to the body surface on which boundary layer forms. Outer electric filed is neglected and magnetic Reynolds number is significantly lower then one i.e. considered problem is in inductionless approximation. Characteristic properties of fluid are constant because velocity of flow is much lower than speed of light and temperature difference is small enough (under 50ºC ). Introduced assumptions simplify considered problem in sake of mathematical solving, but adopted physical model is interesting from practical point of view, because its relation with large number of technically significant MHD flows. Obtained partial differential equations can be solved with modern numerical methods for every particular problem. Conclusions based on these solutions are related only with specific temperature MHD boundary layer problem. In this paper, quite different approach is used. First new variables are introduced and then sets of similarity parameters which transform equations on the form which don't contain inside and in corresponding boundary conditions characteristics of particular problems and in that sense equations are considered as universal. Obtained universal equations in appropriate approximation can be solved numerically once for all. So-called universal solutions of equations can be used to carry out general conclusions about temperature MHD boundary layer and for calculation of arbitrary particular problems. To calculate any particular problem it is necessary also to solve corresponding momentum integral equation

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“…More theoretical approach to the treated problem, on the other hand, leads to the more general solution that covers, at least, a class or a group of the particular cases. In the laminar boundary layer theory, the method of Loitskianskii [1], improved by Saljnikov [2] and his school, seems to be very promising approach for theoretical treatment of various problems -Boricic et al [3], Saljnikov et al [4], Miric-Milosavljevic, Pavlovic [5], Obrovic et al [6] and Ivanovic D., Ivanovic V. [7].…”

Section: Introductionmentioning

confidence: 99%

Temperature boundary layer on a rotating surface - the problem of the constant temperature wall

Pavlović¹

2006

Theor appl mech (Belgr)

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Introducing the group of Loitskanskii [1] form-parameters and transformations of Saljnikov [2], the set of governing equations of the in compressible laminar temperature boundary layer was transformed in the universal form, with Prandtl number as parameter, for the case of the constant wall temperature. Using the universal results for air (Pr=0.72) the procedure for calculation of the Nusselt number (dimensionless heat transfer coefficient) on the particular contour (airfoil NACA 0010-34) was developed. The dimensionless temperature profiles within the boundary layer were presented also. The parameter of rotation Ω0, as well as Eckert number, was varied, and their influences on the heat transfer from the surface to the working fluid were presented and analyzed.

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Boundary layer of the dissociated gas flow over a porous wall under the conditions of equilibrium dissociation

Cited by 5 publications

References 2 publications

Generalized similarity method in unsteady two-dimensional MHD boundary layer on the body which temperature varies with time

Generalized similarity method in unsteady two-dimensional MHD boundary layer on the body which temperature varies with time

Universal equations of unsteady two-dimensional MHD boundary layer whose temperature varies with time

Temperature boundary layer on a rotating surface - the problem of the constant temperature wall

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