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Technical Brief

Effects of Heat Transfer During Peristaltic Transport in Nonuniform Channel With Permeable Walls

[+] Author and Article Information
Siddharth Shankar Bhatt

Department of Applied Sciences and Humanities,
Kamla Nehru Institute of Technology,
Sultanpur, Uttar Pradesh 228118, India
e-mail: shankarbhatt56@gmail.com

Amit Medhavi

Department of Mechanical Engineering,
Kamla Nehru Institute of Technology,
Sultanpur, Uttar Pradesh 228118, India

R. S. Gupta

Department of Applied Sciences and Humanities,
Kamla Nehru Institute of Technology,
Sultanpur, Uttar Pradesh 228118, India

U. P. Singh

Department of Mathematics,
GLA University,
Mathura, Uttar Pradesh 281406, India

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 10, 2015; final manuscript received August 29, 2016; published online September 13, 2016. Editor: Dr. Portonovo S. Ayyaswamy.

J. Heat Transfer 139(1), 014502 (Sep 13, 2016) (6 pages) Paper No: HT-15-1274; doi: 10.1115/1.4034551 History: Received April 10, 2015; Revised August 29, 2016

In the present investigation, problem of heat transfer has been studied during peristaltic motion of a viscous incompressible fluid for two-dimensional nonuniform channel with permeable walls under long wavelength and low Reynolds number approximation. Expressions for pressure, friction force, and temperature are obtained. The effects of different parameters on pressure, friction force, and temperature have been discussed through graphs.

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References

Latham, T. W. , 1966, “ Fluid Motion in a Peristaltic Pump,” M.S. thesis, Massachusetts Institute of Technology, Cambridge, MA.
Jaffrin, M. Y. , and Shapiro, A. H. , 1971, “ Peristaltic Pumping,” Ann. Rev. Fluid Mech., 3(1), pp. 13–36. [CrossRef]
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Srinivas, A. N. S. , Reddy, R. H. , Srinivas, S. , and Sreenadh, S. , 2014, “ Peristaltic Transport of a Casson Fluid in a Channel With Permeable Walls,” Int. J. Pure Appl. Math., 90(1), pp. 11–24. [CrossRef]
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Elllahi, R. , Bhatti, M. M. , and Vafai, K. , 2014, “ Effects of Heat and Mass Transfer on Peristaltic Flow in a Non-Uniform Rectangular Duct,” Int. J. Heat Mass Transfer, 71, pp. 706–719. [CrossRef]
Rehman, M. , Noreen, S. , Haidar, A. , and Azam, H. , 2015, “ Effect of Heat Sink/Source on Peristaltic Flow of Jeffrey Fluid Through a Symmetric Channel,” Alexandria Eng. J., 54(3), pp. 733–743. [CrossRef]

Figures

Grahic Jump Location
Fig. 2

Pressure versus averaged flow rate for various values of D at α = 0.2, K = 0.1, and ϕ = 0.4

Grahic Jump Location
Fig. 3

Pressure versus averaged flow rate for various values of α at D = 0.01, K = 0.1, and ϕ = 0.4

Grahic Jump Location
Fig. 4

Pressure versus averaged flow rate for various values of ϕ at D = 0.01, K = 0.1, and α = 0.2

Grahic Jump Location
Fig. 5

Pressure versus averaged flow rate for various values of K at D = 0.01, ϕ = 0.4, and α = 0.2

Grahic Jump Location
Fig. 6

Friction force versus averaged flow rate for various values of D at α = 0.2, ϕ = 0.4, and K = 0.1

Grahic Jump Location
Fig. 7

Friction force versus averaged flow rate for various values of α at D = 0.01, ϕ = 0.4, and K = 0.1

Grahic Jump Location
Fig. 8

Friction force versus averaged flow rate for various values of ϕ at D = 0.01, α = 0.2, and K = 0.1

Grahic Jump Location
Fig. 9

Friction force versus averaged flow rate for various values of K at D = 0.01, α = 0.2, and ϕ = 0.4

Grahic Jump Location
Fig. 10

Effect of D on temperature at ϕ = 0.4, b = 1, α = 0.2, K = 0.1, and Q = 0.2 at inlet as well as downstream

Grahic Jump Location
Fig. 11

Effect of α on temperature at ϕ = 0.4, b = 1, D = 0.01, K = 0.1, and Q = 0.2 at inlet as well as downstream

Grahic Jump Location
Fig. 12

Effect of k on temperature at ϕ = 0.4, b = 1, D = 0.01, α = 0.2, and Q = 0.2 at inlet as well as downstream

Grahic Jump Location
Fig. 13

Effect of ϕ on temperature at K = 0.1, b = 1, D = 0.01, α = 0.2, and Q = 0.2 at inlet as well as downstream

Grahic Jump Location
Fig. 14

Effect of b on temperature at K = 0.1, ϕ = 0.4, D = 0.01, α = 0.2, and Q = 0.2 at inlet as well as downstream

Grahic Jump Location
Fig. 15

Effect of Q on temperature at K = 0.1, ϕ = 0.4, D = 0.01, α = 0.2, and b = 1 at inlet as well as downstream

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