Unsteady boundary layer flow and heat transfer over a permeable shrinking sheet with non-uniform heat source

M. M. Rahman; I. Pop

Unsteady boundary layer flow and heat transfer over a permeable shrinking sheet with non-uniform heat source

M. M. Rahman, I. Pop

Mathematics & Statistics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

In this paper we investigate theoretically the unsteady boundary layer flow and heat transfer over a permeable shrinking sheet with non-uniform heat source. The nondimensional governing equations have been solved numerically using the bvp4c function from Matlab for different values of the pertinent parameters; shrinking parameter λ, suction parameter S, unsteadiness parameter β, space dependent heat source parameter A, and temperature dependent heat source parameter B, keeping Prandtl number Pr fixed. Numerical results are obtained for the reduced skin-friction and heat transfer and for the velocity and temperature profiles. The results indicate that dual solutions exist for a shrinking (λ < 0) sheet for certain values of the parameter space. The results show that unsteadiness significantly control the flow and heat transfer characteristics.

Original language	English
Title of host publication	Proceedings of the 19th Australasian Fluid Mechanics Conference, AFMC 2014
Publisher	Australasian Fluid Mechanics Society
ISBN (Electronic)	9780646596952
Publication status	Published - 2014
Event	19th Australasian Fluid Mechanics Conference, AFMC 2014 - Melbourne, Australia Duration: Dec 8 2014 → Dec 11 2014

Other

Other	19th Australasian Fluid Mechanics Conference, AFMC 2014
Country/Territory	Australia
City	Melbourne
Period	12/8/14 → 12/11/14

ASJC Scopus subject areas

Fluid Flow and Transfer Processes

Cite this

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title = "Unsteady boundary layer flow and heat transfer over a permeable shrinking sheet with non-uniform heat source",

abstract = "In this paper we investigate theoretically the unsteady boundary layer flow and heat transfer over a permeable shrinking sheet with non-uniform heat source. The nondimensional governing equations have been solved numerically using the bvp4c function from Matlab for different values of the pertinent parameters; shrinking parameter λ, suction parameter S, unsteadiness parameter β, space dependent heat source parameter A, and temperature dependent heat source parameter B, keeping Prandtl number Pr fixed. Numerical results are obtained for the reduced skin-friction and heat transfer and for the velocity and temperature profiles. The results indicate that dual solutions exist for a shrinking (λ < 0) sheet for certain values of the parameter space. The results show that unsteadiness significantly control the flow and heat transfer characteristics.",

author = "Rahman, {M. M.} and I. Pop",

year = "2014",

language = "English",

booktitle = "Proceedings of the 19th Australasian Fluid Mechanics Conference, AFMC 2014",

publisher = "Australasian Fluid Mechanics Society",

note = "19th Australasian Fluid Mechanics Conference, AFMC 2014 ; Conference date: 08-12-2014 Through 11-12-2014",

}

TY - GEN

T1 - Unsteady boundary layer flow and heat transfer over a permeable shrinking sheet with non-uniform heat source

AU - Rahman, M. M.

AU - Pop, I.

PY - 2014

Y1 - 2014

N2 - In this paper we investigate theoretically the unsteady boundary layer flow and heat transfer over a permeable shrinking sheet with non-uniform heat source. The nondimensional governing equations have been solved numerically using the bvp4c function from Matlab for different values of the pertinent parameters; shrinking parameter λ, suction parameter S, unsteadiness parameter β, space dependent heat source parameter A, and temperature dependent heat source parameter B, keeping Prandtl number Pr fixed. Numerical results are obtained for the reduced skin-friction and heat transfer and for the velocity and temperature profiles. The results indicate that dual solutions exist for a shrinking (λ < 0) sheet for certain values of the parameter space. The results show that unsteadiness significantly control the flow and heat transfer characteristics.

AB - In this paper we investigate theoretically the unsteady boundary layer flow and heat transfer over a permeable shrinking sheet with non-uniform heat source. The nondimensional governing equations have been solved numerically using the bvp4c function from Matlab for different values of the pertinent parameters; shrinking parameter λ, suction parameter S, unsteadiness parameter β, space dependent heat source parameter A, and temperature dependent heat source parameter B, keeping Prandtl number Pr fixed. Numerical results are obtained for the reduced skin-friction and heat transfer and for the velocity and temperature profiles. The results indicate that dual solutions exist for a shrinking (λ < 0) sheet for certain values of the parameter space. The results show that unsteadiness significantly control the flow and heat transfer characteristics.

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M3 - Conference contribution

AN - SCOPUS:84959167111

BT - Proceedings of the 19th Australasian Fluid Mechanics Conference, AFMC 2014

PB - Australasian Fluid Mechanics Society

T2 - 19th Australasian Fluid Mechanics Conference, AFMC 2014

Y2 - 8 December 2014 through 11 December 2014

ER -

Unsteady boundary layer flow and heat transfer over a permeable shrinking sheet with non-uniform heat source

Abstract

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ASJC Scopus subject areas

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