Investigation of Heat Transfer in a Porous Annulus with Pulsating Pressure Gradient by Homotopy Analysis Method

Rashidi, Majid; Rajvanshi, S. C.; Kavyani, N.; Keimanesh, M.; Pop, Ioan; Saini, B. S.

doi:10.1007/s13369-014-1140-5

Cited by 19 publications

(10 citation statements)

References 19 publications

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“…This article is organised as follows: Section 2 contains the basic equations and the mathematical formulation of the problem. Section 3 presents solutions by homotopy analysis method (HAM) [25][26][27][28][29][30][31][32][33][34][35]. Convergence of the problem is discussed in Section 4, and interpretation to the results is presented in Section 5.…”

Section: Introductionmentioning

confidence: 99%

Boundary-Layer Flow of Walters’ B Fluid with Newtonian Heating

Hayat¹,

Shafiq

Mustafa

et al. 2015

Zeitschrift Für Naturforschung A

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This work studies the flow of Walters-B fluid over a stretching surface with Newtonian heating. The governing partial differential equations are first simplified through boundary layer approximations and then reduced into ordinary differential equations by using the appropriate substitutions. The resulting problems have been solved for the series solutions by a homotopic approach. Convergence analysis is performed and appropriate values are determined by plotting the so-called ℏ-curves. Graphical results for the dimensionless velocity and temperature are presented and discussed for various physical parameters. In addition, the expressions of skin friction coefficient and the local Nusselt number are presented. The dimensionless expressions of wall shear stress and wall mass flux are analysed graphically and numerically.

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Section: Introductionmentioning

confidence: 99%

Boundary-Layer Flow of Walters’ B Fluid with Newtonian Heating

Hayat¹,

Shafiq

Mustafa

et al. 2015

Zeitschrift Für Naturforschung A

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“…Due to (39) and (82), the entropy entering to the system is larger than the one that leaves it [cf. (65)]:…”

Section: B Energetics Entropy and Efficiencymentioning

confidence: 99%

Modeling gasodynamic vortex cooling

Allahverdyan

Fauve

2017

Phys. Rev. Fluids

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We aim at studying gasodynamic vortex cooling in an analytically solvable, thermodynamically consistent model that can explain limitations on the cooling efficiency. To this end, we study a angular plus radial flow between two (co-axial) rotating permeable cylinders. Full account is taken of compressibility, viscosity and heat conductivity. For a weak inward radial flow the model qualitatively describes the vortex cooling effect-both in terms of temperature and of decrease of the stagnation enthalpy-seen in short uniflow vortex (Ranque) tubes. The cooling does not result from external work, and its efficiency is defined as the ratio of the lowest temperature reached adiabatically (for the given pressure gradient) to the actually reached lowest temperature. We show that for the vortex cooling the efficiency is strictly smaller than 1, but in another configuration with an outward radial flow, we found that the efficiency can be larger than 1. This is related to both the geometry and the finite heat conductivity.

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“…The auxiliary parameters f and θ are employed to control the convergence region of series solutions (28) and (29). Therefore the -curves are plotted at 18th order of approximations in Fig.…”

Section: Convergence Of the Derived Series Solutionsmentioning

confidence: 99%

“…Appropriate transformations are used to convert the systems of non-linear partial differential equations into non-linear ordinary differential equations. Homotopy analysis method [27][28][29][30][31][32][33][34][35][36][37][38] is used to obtain the series solutions of the resulting mathematical problems. Numerical values of various emerging parameters of interest are computed and analyzed through graphs.…”

Section: Introductionmentioning

confidence: 99%

Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity

et al. 2015

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This paper examines effects of inclined magnetic field and heat transfer in the flow of a third-grade fluid by an exponentially stretching surface. Formulation and analysis are given with heat source and sink. Thermal conductivity is taken temperature dependent. The governing boundary layer equations and boundary conditions are simplified through appropriate transformations. Resulting equations are solved for the approximate solutions. Convergence of governed problems is explicitly discussed. Influences of various dimensionless parameters such as on the flow and thermal fields are discussed. Local skin friction coefficient and the local Nusselt number are analyzed through tabulated values.

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Investigation of Heat Transfer in a Porous Annulus with Pulsating Pressure Gradient by Homotopy Analysis Method

Cited by 19 publications

References 19 publications

Boundary-Layer Flow of Walters’ B Fluid with Newtonian Heating

Boundary-Layer Flow of Walters’ B Fluid with Newtonian Heating

Modeling gasodynamic vortex cooling

Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity

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