Numerical Investigation of Viscous Dissipation in Elliptic Microducts

Vocale, Pamela; Puccetti, Giacomo; Morini, Gian Luca; Spiga, M.

doi:10.1088/1742-6596/547/1/012023

Cited by 5 publications

(2 citation statements)

References 18 publications

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“…Khadem et al implemented a simulation study in two‐dimensional microchannel for compressible and incompressible flow in slip region using Maxwell slip wall conditions. Vocale et al simulated numerically a laminar gas slip flow through a microduct with elliptical cross section to obtain the effect of viscous dissipation on the fluid characteristics. Zade et al analyzed numerically the effects of different parameters on the developing and fully developed slip flow and heat transfer through a microchannel.…”

Section: Introductionmentioning

confidence: 99%

Gaseous slip flow affected by inclined low magnetic field using second‐order boundary conditions

2019

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In this study, asymptotic solutions of a near continuum gaseous slip flow in two-dimensional rectangular microchannels under the effect of electromagnetic force are presented. An inclined magnetic field was assumed in this study. Nondimensional equations were obtained that relate the pressure ratio, Mach number, magnetic Reynolds number, magnetic force number, and Reynolds number. The asymptotic solutions for the

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Section: Introductionmentioning

confidence: 99%

Gaseous slip flow affected by inclined low magnetic field using second‐order boundary conditions

2019

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“…Even though the classical Graetz problem [1] has been known for over a 100 years, a number of recent investigations related to extended versions of the problem can be found in the literature. Among features that are commonly incorporated as extensions to the classical Graetz formulation, one can mention axial heat diffusion [2][3][4][5][6], different velocity profiles [7], conjugate heat transfer within the surrounding walls [8][9][10][11], slip flow effects [5,6], and heating by viscous dissipation [4,[12][13][14]. These recent examples show that, despite the simplicity of the dynamically developed flows that occur in Graetz formulations, there are many current applications for these problems.…”

Section: Introductionmentioning

confidence: 99%

Improved lumped analysis of Graetz problems with axial diffusion

Barros

Sphaier

2019

J Braz. Soc. Mech. Sci. Eng.

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This paper proposes analytical approximations for solving extended Graetz problems with axial diffusion in infinite domains. A general formulation, valid for both parallel-plates channels and circular ducts, is employed, and a discontinuous Dirichlet condition is applied at the wall. The adopted methodology consists of transforming the 2D convection equation into simpler one-dimensional forms, using approximation rules provided by the Coupled Integral Equations Approach. This technique is employed for producing expressions for the bulk temperature, and different levels of approximations are analyzed. The results are compared with an exact analytical solution to the problem and an expression obtained with the classical lumped system analysis (CLSA). While the results obtained with the CLSA are demonstrated to be substantially discrepant compared to the exact solution, the proposed improved formulas are equivalently simple and are shown to provide very good estimates for calculating the bulk temperature distribution. In addition, estimates for the length through which heat is diffused backward are also calculated with the derived approximate formulations and a practically perfect agreement is obtained with the higher-order approximation and the exact solution data.

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