<i>Introduction to the, Dynamics of Rarefied Gases</i>

Shidlovskiy, V. P.; Technica, Scripta; Street, Robert E.

doi:10.1063/1.3035644

Cited by 32 publications

(48 citation statements)

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“…It is a well-known fact that a viscous fluid normally sticks to the boundary. But, there are many fluids, for example, particulate fluids, rarefied gas etc., where there may be a slip between the fluid and the boundary [28]. The effects of slip conditions are very important in technological applications such as in the polishing of artificial heart valves and the internal cavities [29].…”

Section: Introductionmentioning

confidence: 99%

Influence of Variable Thermal Conductivity on MHD Boundary Layer Slip Flow of Ethylene-Glycol Based Cu Nanofluids over a Stretching Sheet with Convective Boundary Condition

Reddy

Poornima

Sreenivasulu³

2014

International Journal of Engineering Mathematics

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An analysis is carried out to investigate the influence of variable thermal conductivity and partial velocity slip on hydromagnetic two-dimensional boundary layer flow of a nanofluid with Cu nanoparticles over a stretching sheet with convective boundary condition. Using similarity transformation, the governing boundary layer equations along with the appropriate boundary conditions are transformed to a set of ordinary differential equations. Employing Runge-kutta fourth-order method along with shooting technique, the resultant system of equations is solved. The influence of various pertinent parameters such as nanofluid volume fraction parameter, the magnetic parameter, radiation parameter, thermal conductivity parameter, velocity slip parameter, Biot number, and suction or injection parameter on the velocity of the flow field and heat transfer characteristics is computed numerically and illustrated graphically. The present results are compared with the existing results for the case of regular fluid and found an excellent agreement.

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Section: Introductionmentioning

confidence: 99%

Influence of Variable Thermal Conductivity on MHD Boundary Layer Slip Flow of Ethylene-Glycol Based Cu Nanofluids over a Stretching Sheet with Convective Boundary Condition

Reddy

Poornima

Sreenivasulu³

2014

International Journal of Engineering Mathematics

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“…On the other hand the exchange will be produced by the temperature difference between the particles and the heated plate. That is taking the form of full energy accommodation [17].…”

Section: The Physical Problem and Mathematical Formulationmentioning

confidence: 99%

Thermodynamic Study of the Unsteady BGK Model for a Binary Gas Mixture Affected by a Nonlinear Thermal Radiation Field

Zakaraia¹,

Wahid²

2014

Proceedings of 1st International Electronic Conference on Entropy and Its Applications

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Abstract:In the present study, a development thermodynamic study of the papers [JNET, 2011, 36 (1), 75-98 and Can. J. of Phy., 2012, 90(2): 137-149] is introduced. The non-stationary BGK (BhatnagerGross-Krook) model of the kinetic equations for a rarefied gas mixture affected by nonlinear thermal radiation field is solved instead of the stationary equations. The unsteady solution gives the problem a great generality and more applications. The non-equilibrium thermodynamic properties of the system (gas mixture + the heated plate) is investigated. The entropy, entropy flux, entropy production, thermodynamic forces, kinetic coefficients are obtained for the system. The verification of the Boltzmann H-theorem, Le Chatelier principle, second law of thermodynamic and Onsager's reciprocity relation for the system are made. The ratios between the different contributions of the internal energy changes based upon the total derivatives of the extensive parameters are estimated via the Gibbs formula. The results are applied to the Argon-Neon binary gas mixture, for various values of both of molar fraction parameters and radiation field intensity. 3D-Graphics illustrating the calculated variables are drawn to predict their behavior. The results are discussed.

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“…Since the particles between the two cylinders are colliding with each other via binary collisions, the cone of influence will be generated [12]. Let n 1 , T 1 be the density and temperature in region one of the cone and n 2 , T 2 be the density and temperature in region two.…”

Section: The Physical Problem and Mathematical Formulationmentioning

confidence: 99%

“…The motion of a rarefied gas between two coaxial cylinders: one is fixed and the other rotates with constant angular velocity, was studied in [2], using the moments method for obtaining a suitable solution for any Knudsen number. The flow of a gas between two coaxial cylinders, the inside cylinder being at rest with temperature T i , while the outside cylinder rotates at a constant angular velocity with temperature T * , was studied in [12]. A numerical solution to the problem of a cylinder rotating in a rarefied gas and a comparison with the approximate analytical solution are given in [9].…”

Section: Introductionmentioning

confidence: 99%

Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders

Abourabia

Mahmoud

Kareem

2000

Journal of Applied Mathematics

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We consider a kinetic-theory treatment of the cylindrical unsteady heat transfer. A model kinetic equation of the BGK (Bhatnager-Gross-Krook) type is solved using the method of moments with a two-sided distribution function. We study the relations between the different macroscopic properties of the gas as the temperature, density, and heat flux with both the radial distance r and the time t. Also we study the problem from the viewpoint of irreversible thermodynamics and estimate the entropy, entropy production, entropy flux, thermodynamic forces, kinetic coefficients, the change in internal energy, and verify Onsager's relation for nonequilibrium thermodynamic properties of the system.

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Introduction to the, Dynamics of Rarefied Gases

Cited by 32 publications

References 0 publications

Influence of Variable Thermal Conductivity on MHD Boundary Layer Slip Flow of Ethylene-Glycol Based Cu Nanofluids over a Stretching Sheet with Convective Boundary Condition

Influence of Variable Thermal Conductivity on MHD Boundary Layer Slip Flow of Ethylene-Glycol Based Cu Nanofluids over a Stretching Sheet with Convective Boundary Condition

Thermodynamic Study of the Unsteady BGK Model for a Binary Gas Mixture Affected by a Nonlinear Thermal Radiation Field

Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders

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