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Research Papers

Electrothermal Transport in Biological Systems: An Analytical Approach for Electrokinetically Modulated Peristaltic Flow

[+] Author and Article Information
Dharmendra Tripathi

Department of Mechanical Engineering,
Manipal University Jaipur,
Jaipur 303007, Rajasthan, India
e-mail: dharmendra.tripathi@jaipur.manipal.edu

Ashish Sharma, Abhishek Tiwari

Department of Mechanical Engineering,
Manipal University Jaipur,
Jaipur 303007, Rajasthan, India

O. Anwar Bég

Fluid Dynamics, Bio-Propulsion
and Nanosystems,
Department of Mechanical and
Aeronautical Engineering,
Salford University,
Newton Building, The Crescent,
Salford M54WT, UK

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received November 10, 2016; final manuscript received April 3, 2017; published online June 13, 2017. Assoc. Editor: Steve Q. Cai.

J. Thermal Sci. Eng. Appl 9(4), 041010 (Jun 13, 2017) (9 pages) Paper No: TSEA-16-1326; doi: 10.1115/1.4036803 History: Received November 10, 2016; Revised April 03, 2017

A mathematical model is presented to study the combined viscous electro-osmotic (EO) flow and heat transfer in a finite length microchannel with peristaltic wavy walls in the presence of Joule heating. The unsteady two-dimensional conservation equations for mass, momentum, and energy conservation with viscous dissipation, heat absorption, and electrokinetic body force, are formulated in a Cartesian co-ordinate system. Both single and train wave propagations are considered. The electrical field terms are rendered into electrical potential terms via the Poisson–Boltzmann equation, Debye length approximation, and ionic Nernst Planck equation. A parametric study is conducted to evaluate the impact of isothermal Joule heating and electro-osmotic velocity on axial velocity, temperature distribution, pressure difference, volumetric flow rate, skin friction, Nusselt number, and streamline distributions.

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Figures

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Fig. 1

Schematic view of electro-osmotically modulated peristaltic transport between two parallel plates subjected to constant temperature (T=T1) at the top and bottom surfaces

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Fig. 2

Temperature profile at ϕ=0.6,  β=2,px=1, UHS=1,Gr=1,κ=1 for different values of Joule heating parameter

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Fig. 3

Velocity profile at ϕ=0.6,  β=2,px=1, Gr=1,κ=1 for different values of Joule heating parameter: (a) UHS=1 and (b) UHS=0

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Fig. 4

Pressure distribution along the channel length at ϕ=0.7,  t=0.48,  β=5,Gr=1,κ=1 for different values of Joule heating parameters: (a) train wave propagation UHS=1, (b) train wave propagation UHS=0, and (c) single wave propagation

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Fig. 5

Volumetric flow rate along the channel length at ϕ=0.7, t=0.48, px=1,β=5,UHS=1,Gr=1,κ=2 for different values of Joule heating parameters: (a) train wave propagation and (b) single wave propagation

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Fig. 6

Skin friction coefficient along the channel length at ϕ=0.7,  t=0.48,  px=1,β=5,UHS=1,Gr=1,κ=2 for different values of Joule heating parameters: (a) train wave propagation and (b) single wave propagation

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Fig. 7

Nusselt number along the channel length at ϕ=0.7,  t=0.48,  β=5 for different values of Joule heating parameters: (a) train wave propagation and (b) single wave propagation

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Fig. 8

Stream lines at UHS=1,ϕ=0.5, Q¯=0.7,β=5,Gr=0.1,κ=2 for (a) S=−5, (b) S=0, and (c) S=5

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Fig. 9

Stream lines at UHS=0,ϕ=0.5, Q¯=0.7,β=5,Gr=0.1,κ=2 for (a) S=−5, (b) S=0, and (c) S=5

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Fig. 10

Stream lines at UHS=−1,ϕ=0.5, Q¯=0.7,β=5,Gr=0.1,κ=2 for (a) S=−5, (b) S=0, and (c) S=5

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