Analytical study on couple stress Fluid in an inclined channel

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AHMAD F.; Nazeer M.; ALI W.; Sarwar h.; Saleem a.; Suleman s.; Abdelmalek z.

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Journal Paper

Paper Information

Journal: Scientia Iranica Year:2021 | Volume:28 | Issue:4 (Transactions B: Mechanical engineering) Page(s): 2164-2175

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Title

Analytical study on couple stress Fluid in an inclined channel

Author(s)

Keywords

Analytical study

Couple stress fluid

Constant and variable viscosities

Perturbation and pseudo-spectral methods

Inclined channel

Abstract

Numerical and analytical solutions of Stokes theory of couple stress uid under the e ects of constant, space, and variable viscosity in the Inclined channel are discussed in this paper. The considered couple stress uid is described mathematically with the de nition of the stress tensor. The dimensional form of the boundary value problem is transformed into dimensionless form by de ning dimensionless quantities, and is then solved with the aid of the perturbation technique. The analytical expressions of velocity and temperature of all cases based on the viscosity of the couple stress uid are presented. For the validity of the perturbation solution, the Pseudo-Spectral collocation method is employed for each case of the viscosity model including constant, space, and Vogel's models, respectively. The solution of the perturbation method and Pseudo-Spectral methods are shown together in the graphs. The e ects of couple stress parameters on velocity and temperature distributions are also elaborated with physical reasoning in the results and discussion section. It is observed that the velocity and temperature of uid escalate via the pressure gradient parameter and Brinkman number, while decelerating via the couple stress parameter.

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APA: Copy

AHMAD, F., Nazeer, M., ALI, W., Saleem, a., Sarwar, h., Suleman, s., & Abdelmalek, z.. (2021). Analytical study on couple stress Fluid in an inclined channel. SCIENTIA IRANICA, 28(4 (Transactions B: Mechanical engineering)), 2164-2175. SID. https://sid.ir/paper/982968/en

Vancouver: Copy

AHMAD F., Nazeer M., ALI W., Saleem a., Sarwar h., Suleman s., Abdelmalek z.. Analytical study on couple stress Fluid in an inclined channel. SCIENTIA IRANICA[Internet]. 2021;28(4 (Transactions B: Mechanical engineering)):2164-2175. Available from: https://sid.ir/paper/982968/en

IEEE: Copy

F. AHMAD, M. Nazeer, W. ALI, a. Saleem, h. Sarwar, s. Suleman, and z. Abdelmalek, “Analytical study on couple stress Fluid in an inclined channel,” SCIENTIA IRANICA, vol. 28, no. 4 (Transactions B: Mechanical engineering), pp. 2164–2175, 2021, [Online]. Available: https://sid.ir/paper/982968/en

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