ASYMPTOTIC APPROACH TO THE GENERALIZED BRINKMAN’S EQUATION WITH PRESSURE-DEPENDENT VISCOSITY AND DRAG COEFFICIENT

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PAZANIN I.; PEREIRA M.C.; SUAREZ GRAU F.J.

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Paper Information

Journal: JOURNAL OF APPLIED FLUID MECHANICS (JAFM) Year:2016 | Volume:9 | Issue:6 Page(s): 3101-3107

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Title

ASYMPTOTIC APPROACH TO THE GENERALIZED BRINKMAN’S EQUATION WITH PRESSURE-DEPENDENT VISCOSITY AND DRAG COEFFICIENT

Author(s)

PAZANIN I. | PEREIRA M.C. | SUAREZ GRAU F.J. | Issue Writer Certificate

Keywords

BRINKMAN’S EQUATION

PRESSURE-DEPENDENT VISCOSITY

PRESSURE-DEPENDENT DRAG COEFFICIENT

TRANSFORMED PRESSURE

ASYMPTOTIC ANALYSIS

Abstract

In this paper we investigate the fluid flow through a thin (or long) channel filled with a fluid saturated porous medium. We are motivated by some important applications of the porous mediumflow in which the viscosity of fluids can change significantly with pressure. In view of that, we consider the generalized BRINKMAN’S EQUATION which takes into account the exponential dependence of the viscosity and the drag coefficient on the pressure. We propose an approach using the concept of the TRANSFORMED PRESSURE combined with the ASYMPTOTIC ANALYSIS with respect to the thickness of the channel. As a result, we derive the asymptotic solution in the explicit form and compare it with the solution of the standard Brinkman’s model with constant viscosity. To our knowledge, such analysis cannot be found in the existing literature and, thus, we believe that the provided result could improve the known engineering practice.

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APA: Copy

PAZANIN, I., PEREIRA, M.C., & SUAREZ GRAU, F.J.. (2016). ASYMPTOTIC APPROACH TO THE GENERALIZED BRINKMAN’S EQUATION WITH PRESSURE-DEPENDENT VISCOSITY AND DRAG COEFFICIENT. JOURNAL OF APPLIED FLUID MECHANICS (JAFM), 9(6), 3101-3107. SID. https://sid.ir/paper/307807/en

Vancouver: Copy

PAZANIN I., PEREIRA M.C., SUAREZ GRAU F.J.. ASYMPTOTIC APPROACH TO THE GENERALIZED BRINKMAN’S EQUATION WITH PRESSURE-DEPENDENT VISCOSITY AND DRAG COEFFICIENT. JOURNAL OF APPLIED FLUID MECHANICS (JAFM)[Internet]. 2016;9(6):3101-3107. Available from: https://sid.ir/paper/307807/en

IEEE: Copy

I. PAZANIN, M.C. PEREIRA, and F.J. SUAREZ GRAU, “ASYMPTOTIC APPROACH TO THE GENERALIZED BRINKMAN’S EQUATION WITH PRESSURE-DEPENDENT VISCOSITY AND DRAG COEFFICIENT,” JOURNAL OF APPLIED FLUID MECHANICS (JAFM), vol. 9, no. 6, pp. 3101–3107, 2016, [Online]. Available: https://sid.ir/paper/307807/en

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