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Influence of Hall Current and Viscous Dissipation on Pressure Driven Flow of Pseudoplastic Fluid with Heat Generation: A Mathematical Study.

Noreen S, Qasim M - PLoS ONE (2015)

Bottom Line: Flow analysis has been carried out under the approximations of a low Reynolds number and long wavelength.We analyze the influence of various interesting parameters on flow quantities.The present study can be considered as a mathematical presentation of the dynamics of physiological organs with stones.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shehzad, Islamabad 44000, Pakistan.

ABSTRACT
In this paper, we study the influence of heat sink (or source) on the peristaltic motion of pseudoplastic fluid in the presence of Hall current, where channel walls are non-conducting in nature. Flow analysis has been carried out under the approximations of a low Reynolds number and long wavelength. Coupled equations are solved using shooting method for numerical solution for the axial velocity function, temperature and pressure gradient distributions. We analyze the influence of various interesting parameters on flow quantities. The present study can be considered as a mathematical presentation of the dynamics of physiological organs with stones.

No MeSH data available.


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Plots showing Temperature γ versus y.
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pone.0129588.g003: Plots showing Temperature γ versus y.

Mentions: In a rectangular system, Magnetohydrodynamic pseudoplastic flow subject to heat generation and Hall current is studied. Magnetic fields are safe and have healing benefits in human body. Their actions on physiological processes include: ion movement, changes in electrical potentials, chemical reactions, effects on proteins, hormones, starches, lipids and cellular processes. Applied magnetic field can produce required intensity in the target tissue say abdomen, kidney. The Magnetic field needs to be much stronger to reach and affect the kidneys. The Hall effect also becomes important in an ionized medium. The influence of five important parameters Br, ξ, m, M and Gr (Brinkman number, relaxation time, Hall parameter, Hartman number, and Grashof number) on u, ΔPλ and γ (the velocity distribution pressure rise and temperature) is represented graphically in the Figs 1–3.


Influence of Hall Current and Viscous Dissipation on Pressure Driven Flow of Pseudoplastic Fluid with Heat Generation: A Mathematical Study.

Noreen S, Qasim M - PLoS ONE (2015)

Plots showing Temperature γ versus y.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4470995&req=5

pone.0129588.g003: Plots showing Temperature γ versus y.
Mentions: In a rectangular system, Magnetohydrodynamic pseudoplastic flow subject to heat generation and Hall current is studied. Magnetic fields are safe and have healing benefits in human body. Their actions on physiological processes include: ion movement, changes in electrical potentials, chemical reactions, effects on proteins, hormones, starches, lipids and cellular processes. Applied magnetic field can produce required intensity in the target tissue say abdomen, kidney. The Magnetic field needs to be much stronger to reach and affect the kidneys. The Hall effect also becomes important in an ionized medium. The influence of five important parameters Br, ξ, m, M and Gr (Brinkman number, relaxation time, Hall parameter, Hartman number, and Grashof number) on u, ΔPλ and γ (the velocity distribution pressure rise and temperature) is represented graphically in the Figs 1–3.

Bottom Line: Flow analysis has been carried out under the approximations of a low Reynolds number and long wavelength.We analyze the influence of various interesting parameters on flow quantities.The present study can be considered as a mathematical presentation of the dynamics of physiological organs with stones.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shehzad, Islamabad 44000, Pakistan.

ABSTRACT
In this paper, we study the influence of heat sink (or source) on the peristaltic motion of pseudoplastic fluid in the presence of Hall current, where channel walls are non-conducting in nature. Flow analysis has been carried out under the approximations of a low Reynolds number and long wavelength. Coupled equations are solved using shooting method for numerical solution for the axial velocity function, temperature and pressure gradient distributions. We analyze the influence of various interesting parameters on flow quantities. The present study can be considered as a mathematical presentation of the dynamics of physiological organs with stones.

No MeSH data available.


Related in: MedlinePlus