Exact solutions for laminar periodic non-axisymmetric slip flow of a viscous incompressible fluid due to a porous rotating disk

Abdul M. Siddiqui, A. A. Farooq, A. R. Ansari, T. Haroon

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

An exact analytical solution of the steady, three-dimensional Navier - Stokes equations is obtained for the case of flow due to a porous disk rotating with a constant angular velocity, where the disk surface admits partial slip. The basic equations have been solved by reducing them to second order ordinary differential equations with appropriate boundary conditions. The temperature distribution in the flow field is also investigated in the case when the disk is maintained at constant temperature and heat is being transferred from the disk to the fluid. The influence of the slip parameter and other pertinent parameters on the velocity and the temperature profiles are discussed. Finally, the results obtained are shown graphically for various parameters. The main finding is that the velocity and temperature profiles are greatly influenced by the slip parameter.

Original languageEnglish (US)
Pages (from-to)71-84
Number of pages14
JournalInternational Journal of Fluid Mechanics Research
Volume38
Issue number1
DOIs
StatePublished - May 11 2011

Fingerprint

slip flow
incompressible fluids
rotating disks
Rotating disks
slip
Fluids
temperature profiles
Angular velocity
Ordinary differential equations
Temperature
Navier Stokes equations
Flow fields
Temperature distribution
angular velocity
Boundary conditions
Navier-Stokes equation
flow distribution
temperature distribution
differential equations
velocity distribution

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Physics and Astronomy(all)

Cite this

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title = "Exact solutions for laminar periodic non-axisymmetric slip flow of a viscous incompressible fluid due to a porous rotating disk",
abstract = "An exact analytical solution of the steady, three-dimensional Navier - Stokes equations is obtained for the case of flow due to a porous disk rotating with a constant angular velocity, where the disk surface admits partial slip. The basic equations have been solved by reducing them to second order ordinary differential equations with appropriate boundary conditions. The temperature distribution in the flow field is also investigated in the case when the disk is maintained at constant temperature and heat is being transferred from the disk to the fluid. The influence of the slip parameter and other pertinent parameters on the velocity and the temperature profiles are discussed. Finally, the results obtained are shown graphically for various parameters. The main finding is that the velocity and temperature profiles are greatly influenced by the slip parameter.",
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Exact solutions for laminar periodic non-axisymmetric slip flow of a viscous incompressible fluid due to a porous rotating disk. / Siddiqui, Abdul M.; Farooq, A. A.; Ansari, A. R.; Haroon, T.

In: International Journal of Fluid Mechanics Research, Vol. 38, No. 1, 11.05.2011, p. 71-84.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Exact solutions for laminar periodic non-axisymmetric slip flow of a viscous incompressible fluid due to a porous rotating disk

AU - Siddiqui, Abdul M.

AU - Farooq, A. A.

AU - Ansari, A. R.

AU - Haroon, T.

PY - 2011/5/11

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AB - An exact analytical solution of the steady, three-dimensional Navier - Stokes equations is obtained for the case of flow due to a porous disk rotating with a constant angular velocity, where the disk surface admits partial slip. The basic equations have been solved by reducing them to second order ordinary differential equations with appropriate boundary conditions. The temperature distribution in the flow field is also investigated in the case when the disk is maintained at constant temperature and heat is being transferred from the disk to the fluid. The influence of the slip parameter and other pertinent parameters on the velocity and the temperature profiles are discussed. Finally, the results obtained are shown graphically for various parameters. The main finding is that the velocity and temperature profiles are greatly influenced by the slip parameter.

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