Finite Integral Transform Based Solution of Second Grade Fluid Flow between Two Parallel Plates

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Dutta Jaideep; Kundu Balaram

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Journal Paper

Paper Information

Journal: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS Year:2019 | Volume:5 | Issue:5 Page(s): 989-997

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Title

Finite Integral Transform Based Solution of Second Grade Fluid Flow between Two Parallel Plates

Author(s)

Dutta Jaideep | Kundu Balaram | Issue Writer Certificate

Keywords

Second grade fluid

Exact solution

Couette flow

Slip condition

Non-Newtonian fluid

Abstract

The importance of the slip flow over the no-Slip condition is widely accepted in microscopic scaled domains with the direct impact on microfluidic and nanofluidic systems. The popular Navier Stoke’ s (N-S) flow model is largely utilized with the slip flow phenomenon. In the present study, the finite integral transform scheme along with the shift of variables is implemented to solve the equation of motion of Second grade fluid having thirdorder mixed partial derivative term. The velocity over the flow regime is studied with both the slip and no-slip boundary conditions for Newtonian and non-Newtonian characteristics by considering the generalized Couette flow. The impact of the pressure gradient and flow time on the velocity is investigated analytically. The output of the present work reveals that due to the slip flow velocity randomly varies at the vicinity of wall surface and such nature hasn’ t been found for the no-Slip condition. The validation of the present work was done by comparison with the published work and the numerical values, and it shows well verified.

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APA: Copy

Dutta, Jaideep, & Kundu, Balaram. (2019). Finite Integral Transform Based Solution of Second Grade Fluid Flow between Two Parallel Plates. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 5(5), 989-997. SID. https://sid.ir/paper/353306/en

Vancouver: Copy

Dutta Jaideep, Kundu Balaram. Finite Integral Transform Based Solution of Second Grade Fluid Flow between Two Parallel Plates. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2019;5(5):989-997. Available from: https://sid.ir/paper/353306/en

IEEE: Copy

Jaideep Dutta, and Balaram Kundu, “Finite Integral Transform Based Solution of Second Grade Fluid Flow between Two Parallel Plates,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 5, no. 5, pp. 989–997, 2019, [Online]. Available: https://sid.ir/paper/353306/en

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