Effect of Variable Thermal Conductivity & Heat Source/Sink Near a Stagnation Point on a Linearly Stretching Sheet using HPM

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Aisha Rafi
Aisha Rafi
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Vivek Kumar Sharma
Vivek Kumar Sharma
α Jagannath University

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Effect of Variable Thermal Conductivity & Heat Source/Sink Near a Stagnation Point on a Linearly Stretching Sheet using HPM

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Abstract

Aim of the paper is to investigate effects of variable thermal conductivity on flow of a viscous incompressible fluid in variable free stream near a stagnation point on a non-conducting stretching sheet. The equations of continuity, momentum and energy are transformed into ordinary differential equations and solved numerically using Similarity transformation and Homotopy Perturbation Method. The velocity and temperature distributions are discussed numerically and presented through graphs. Skin-friction coefficient and the Nusselt number at the sheet are derived, discussed numerically and their numerical values for various values of physical parameter are presented through Tables.

References

7 Cites in Article
  1. M Arunachalam,N Rajappa (1978). Forced convection in liquid metals with variable thermal conductivity and capacity.
  2. J Bansal (1977). Viscous Fluid Dynamics.
  3. A Chakrabarti,A Gupta (1979). Hydromagnetic flow and heat transfer over a stretching sheet.
  4. J Bansal (1994). Magnetofluiddynamics of Viscous Fluids.
  5. C-H Chen (1998). Laminar mixed convection adjacent to vertical, continuously stretching sheets.
  6. J He (1998). Approximate analytical solution for seepage flow with fractional derivatives in porous media.
  7. Ji-Huan He (2000). A coupling method of a homotopy technique and a perturbation technique for non-linear problems.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Aisha Rafi. 2014. \u201cEffect of Variable Thermal Conductivity & Heat Source/Sink Near a Stagnation Point on a Linearly Stretching Sheet using HPM\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F2): .

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Issue Cover
GJSFR Volume 14 Issue F2
Pg. 57- 64
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

June 21, 2014

Language
en
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Aim of the paper is to investigate effects of variable thermal conductivity on flow of a viscous incompressible fluid in variable free stream near a stagnation point on a non-conducting stretching sheet. The equations of continuity, momentum and energy are transformed into ordinary differential equations and solved numerically using Similarity transformation and Homotopy Perturbation Method. The velocity and temperature distributions are discussed numerically and presented through graphs. Skin-friction coefficient and the Nusselt number at the sheet are derived, discussed numerically and their numerical values for various values of physical parameter are presented through Tables.

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Effect of Variable Thermal Conductivity & Heat Source/Sink Near a Stagnation Point on a Linearly Stretching Sheet using HPM

Vivek Kumar Sharma
Vivek Kumar Sharma
Aisha Rafi
Aisha Rafi Jagannath University

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