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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: 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.

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

Inflence of ΔPλ versus θ for b = 0.5, a = 0.1, d = 1.1, ϕ = π/6.
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pone.0129588.g002: Inflence of ΔPλ versus θ for b = 0.5, a = 0.1, d = 1.1, ϕ = π/6.

Mentions: The pressure rise versus volume flow rate is drawn in Fig 2(a)–2(d). It is clear from Fig 2a that in pumping region (ΔPλ > 0) the pumping rate increases by increasing Hall current parameter m. While in the co- pumping region ΔPλ < 0 and free pumping ΔPλ = 0, the pumping rate increases by increasing m. The situation is reversed in Fig 2b, where an increase in M leads to an increase in the pressure rise in pumping region (ΔPλ > 0). Moving ions induce currents in the tissue or medium. This interaction serves as basis of magnetically-induced blood flow. It is also observed that Δpλ is an increasing function of local Grashof number Gr and heat generation parameter β.


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)

Inflence of ΔPλ versus θ for b = 0.5, a = 0.1, d = 1.1, ϕ = π/6.
© Copyright Policy
Related In: Results  -  Collection

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

pone.0129588.g002: Inflence of ΔPλ versus θ for b = 0.5, a = 0.1, d = 1.1, ϕ = π/6.
Mentions: The pressure rise versus volume flow rate is drawn in Fig 2(a)–2(d). It is clear from Fig 2a that in pumping region (ΔPλ > 0) the pumping rate increases by increasing Hall current parameter m. While in the co- pumping region ΔPλ < 0 and free pumping ΔPλ = 0, the pumping rate increases by increasing m. The situation is reversed in Fig 2b, where an increase in M leads to an increase in the pressure rise in pumping region (ΔPλ > 0). Moving ions induce currents in the tissue or medium. This interaction serves as basis of magnetically-induced blood flow. It is also observed that Δpλ is an increasing function of local Grashof number Gr and heat generation parameter β.

Bottom Line: 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.

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