The Effect of Variable Thermal Conductivity and The Inclined Magnetic Field on Mhd Plane Poiseuille Flow Past Non-Uniform Plate Temperature

The Effect of Variable Thermal Conductivity and The Inclined Magnetic Field on Mhd Plane Poiseuille Flow Past Non-Uniform Plate Temperature

Ajay Jain

Contact

V.G. Gupta

Contact

Abhay Kumar Jha

Contact

α Rajasthan Technical University

The Effect of Variable Thermal Conductivity and The Inclined Magnetic Field on Mhd Plane Poiseuille Flow Past Non-Uniform Plate Temperature

Article Fingerprint

ReserarchID

OSSZZ

The Effect of Variable Thermal Conductivity and The Inclined Magnetic Field on Mhd Plane Poiseuille Flow Past Non-Uniform Plate Temperature Banner

AI TAKEAWAY

Connecting with the Eternal Ground

Abstract

The present paper aim significantly investigates the effect of the variable thermal conductivity and the inclined uniform magnetic field on the plane Poiseuille flow of viscous incompressible electrically conducting fluid in the presence of a constant pressure gradient through non-uniform plate temperature are discussed. The lower plate assumed to be porous, in which the fluid sucks from the flow field. The non-linear momentum and energy equations are transformed into ordinary differential equations by means of homotopy perturbation technique and are solved numerically. Numerical results for the dimensionless velocity profile and the temperature profile for different governing parameters such as the Hartmn Number M, angle of inclination of magnetic field (α), Suction parameter (Re), Prandtle Number (Pr), and variable thermal conductivity (ɛ) have been discussed in detail and are displayed with the aid of graphs.

References

25 Cites in Article

Reference Format

J Shercliff (1956). Entry of conducting and non-conducting fluids in pipes.
T Cowling (1957). Magneto hydrodynamics.
H Schlichting (1960). Boundary Layer theory.
J Shercliff (1965). A Text Book of Magneto hydrodynamics.
K Sinha,R Choudhary (1965). Flow of Viscous Incompressible Fluid Between Two parallel Plates, One In Uniform Motion and The Other At Rest With Suction At The Stationary Plate.
E Palm,J Weber,O Kvernold (1972). On steady Convection In a Porous Midium.
A Raptis,C Massalas,G Tzivanidis (1982). Hydromagnetic free convection flow through a porous medium between two parallel plates.
C Singh (1992). Proc. of the First Conference of Kenya Mathematical Society.
C Singh (2000). Unsteady flow of liquid through a channel with pressure gradient changing exponentially under the influence of inclined magnetic field.
A Al-Hadhrami,L Elliot,M Ingham,X Wen (2003). Flow through Horizontal Channels of Porous Materials.
S Ganesh,S Krishnamba (2007). Unsteady Magnetohydrodynamic Stokes Flow of Viscous Fluid Between Two Parallel Porous Plates.
W Manyonge,J Bitok,W Dionysius (2013). On the Steady MHD Poiseuille Flow Between Two Infinite Parallel Porous Plates In an Inclined Magnetic Field.
D Kiema,W Manyonge,J Bitok (2015). on the steady MHD Poiseuille fluid flow between two infinite parallel porous plates.
H Alfven (1942). Existence of electromagnetic-hydrodynamic waves.
R Nahme (1940). Beiträge zur hydrodynamischen Theorie der Lagerreibung.
H Hausenblas (1950). Die nicht isotherme Stromung einer Zahen Flussigkeit durch enge Spalte and Kapillarrohren.
J Bansal,N Jain (1975). Variable viscosity plane Poiseuille flow with unequal wall temperature.
D Drake (1965). On the flow in a channel due to a periodic pressure gradient.
P Ram,C Singh,U Singh (1984). Hall effects on heat and mass transfer flow through porous medium.
C Singh (1993). Magnetohdrodynamic steady flow of liquid between two parallel plates.
H Schlichiting (1968). Boundary Layer Theory.
M Arunachalam,Rajappa (1978). Forced Convection in liquid metals with variable thermal conductivity and capacity.
S Pai (2008). Homotopy perturbation method for solving hyperbolic partial differential equations.
Ji He,Huan (2000). A coupling method of a homotopy technique and a perturbation technique for non-linear problem.
Ji-Huan He,Huan (2009). An elementary introduction to the homotopy perturbation method.

Download References

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

Ajay Jain. 2016. \u201cThe Effect of Variable Thermal Conductivity and The Inclined Magnetic Field on Mhd Plane Poiseuille Flow Past Non-Uniform Plate Temperature\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F10): .

More Citation Formats

Select Citation Style:

Download Citation

Download Article

GJSFR Volume 15 Issue F10
Pg. 21- 28

Explore Journals Explore Volume Read This Issue

Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Not Found

Classification

MSC 2010: 65H20. 34D10

Submission ReceivedNovember 23, 2015
Peer Review Double Blind
Handling Editor
Accepted December 21, 2015
Published January 1, 2016

Version of record

v1.2

Issue date

January 5, 2016

Language

Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

View in VR

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

View in 3D

Article Matrices

Total Score: 103

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: V.G. Gupta, Ajay Jain, Abhay Kumar Jha (PhD/Dr. count: 0)

View Count (all-time): 155

Total Views (Real + Logic): 4123

Total Downloads (simulated): 2098

Publish Date: 2016 01, Tue

Monthly Totals (Real + Logic):

Month 1: 59 views
Month 2: 30 views
Month 3: 37 views
Month 4: 22 views
Month 5: 27 views
Month 6: 43 views
Month 7: 43 views
Month 8: 51 views
Month 9: 40 views
Month 10: 42 views
Month 11: 45 views
Month 12: 30 views
Month 13: 22 views
Month 14: 42 views
Month 15: 48 views
Month 16: 27 views
Month 17: 44 views
Month 18: 38 views
Month 19: 36 views
Month 20: 39 views
Month 21: 26 views
Month 22: 34 views
Month 23: 36 views
Month 24: 16 views
Month 25: 24 views
Month 26: 32 views
Month 27: 35 views
Month 28: 17 views
Month 29: 14 views
Month 30: 42 views
Month 31: 18 views
Month 32: 27 views
Month 33: 15 views
Month 34: 30 views
Month 35: 27 views
Month 36: 33 views
Month 37: 22 views
Month 38: 29 views
Month 39: 38 views
Month 40: 44 views
Month 41: 35 views
Month 42: 33 views
Month 43: 30 views
Month 44: 42 views
Month 45: 24 views
Month 46: 33 views
Month 47: 15 views
Month 48: 32 views
Month 49: 40 views
Month 50: 39 views
Month 51: 23 views
Month 52: 38 views
Month 53: 30 views
Month 54: 22 views
Month 55: 45 views
Month 56: 22 views
Month 57: 34 views
Month 58: 40 views
Month 59: 36 views
Month 60: 48 views
Month 61: 11 views
Month 62: 22 views
Month 63: 48 views
Month 64: 16 views
Month 65: 41 views
Month 66: 15 views
Month 67: 31 views
Month 68: 41 views
Month 69: 37 views
Month 70: 32 views
Month 71: 39 views
Month 72: 30 views
Month 73: 42 views
Month 74: 32 views
Month 75: 33 views
Month 76: 22 views
Month 77: 33 views
Month 78: 25 views
Month 79: 41 views
Month 80: 23 views
Month 81: 42 views
Month 82: 42 views
Month 83: 34 views
Month 84: 46 views
Month 85: 19 views
Month 86: 19 views
Month 87: 28 views
Month 88: 37 views
Month 89: 37 views
Month 90: 23 views
Month 91: 30 views
Month 92: 30 views
Month 93: 29 views
Month 94: 10 views
Month 95: 36 views
Month 96: 22 views
Month 97: 45 views
Month 98: 27 views
Month 99: 11 views
Month 100: 32 views
Month 101: 26 views
Month 102: 30 views
Month 103: 27 views
Month 104: 15 views
Month 105: 31 views
Month 106: 46 views
Month 107: 15 views
Month 108: 33 views
Month 109: 34 views
Month 110: 35 views
Month 111: 31 views
Month 112: 31 views
Month 113: 39 views
Month 114: 43 views
Month 115: 21 views
Month 116: 29 views
Month 117: 43 views
Month 118: 18 views
Month 119: 43 views
Month 120: 22 views
Month 121: 49 views
Month 122: 55 views
Month 123: 63 views
Month 124: 45 views

Total Views: 4123

Total Downloads: 2098

2026 Trends

Published Article

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]