Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-24T03:41:16.809Z Has data issue: false hasContentIssue false
  • English
  • Français

A Study on Hydromagnetic Pulsating Flow of a Nanofluid in a Porous Channel With Thermal Radiation

Published online by Cambridge University Press:  19 August 2016

A. Vijayalakshmi  and
S. Srinivas
A. Vijayalakshmi
Affiliation:
Department of MathematicsSchool of Advanced SciencesVIT UniversityVellore, India
S. Srinivas*
Affiliation:
Department of MathematicsSchool of Advanced SciencesVIT UniversityVellore, India
*
*Corresponding author ([email protected])
Get access

Abstract

The present study investigates the hydromagnetic pulsating nanofluid flow in a porous channel with thermal radiation. In this work, we considered water as the base fluid and silver (Ag), copper (Cu), alumina (Al2O3) and titanium dioxide (TiO2) as nanoparticles. The Maxwell-Garnetts and Brinkman models are used to evaluate the effective thermal conductivity and viscosity of the nanofluid. The governing equations are solved analytically and the influence of various parameters on velocity, temperature and heat transfer rate has been discussed through graphical results. From the results, it is found that the rate of heat transfer enhances with an increase of nanoparticle volume fraction. Further, the heat transfer rate is higher for silver nanoparticles as compared with copper, alumina and titanium dioxide.

Keywords

Pulsating flowNanofluidHartmann numberDarcy number
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 2 , April 2017 , pp. 213 - 224
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Muzumdar, A. S., Advances in transport process, Vol. 1, Wiley Eastern Ltd., Maharashtra (1980).Google Scholar
2. Bestman, A. R., “Pulsatile flow in heated porous channel,” International Journal of Heat and Mass Transfer, 25, pp. 675–682 (1982).Google Scholar
3. Ghosh, A. K. and Debnath, L., “On heat transfer to pulsatile flow of a viscoelastic fluid,” Acta Mechanica, 93, pp.169–177 (1992).Google Scholar
4. Srinivas, S., Malathy, T. and Sachdev, P. L., “On pulsatile hydromagnetic flow of an Oldroyd fluid with heat transfer,” Engineering Transactions, 55, pp. 79–94 (2007).Google Scholar
5. Wang, C. Y., “Pulsatile flow in a porous channel,” Journal of Applied Mechanics, 38, pp. 553–555 (1971).Google Scholar
6. Radhakrinshnamacharya, G. and Maiti, M. K., “Heat transfer to pulsatile flow in a porous channel,” International Journal of Heat and Mass Transfer, 20, pp. 171–173 (1977).Google Scholar
7. Bhatnagar, R. K., “Fluctuating flow of a viscoelastic fluid in a porous channel,” Journal of Applied Mechanics, 46, pp. 21–25 (1979).Google Scholar
8. Adhikary, S. D. and Misra, J. C., “Pulsating flow of a couple stress fluid in a channel with permeable walls,” Forschung im Ingenieurwesen, 77, pp. 49–57 (2013).CrossRefGoogle Scholar
9. Al-Sumaily, G. F. and Thompson, M. C., “Forced convection from a circular cylinder in pulsating flow with and without the presence of porous media,” International Journal of Heat and Mass Transfer, 61, pp. 226–244 (2013).Google Scholar
10. Datta, N., Dalal, D. C. and Mishra, S. K., “Unsteady heat transfer to pulsatile flow of a dusty viscous incompressible fluid in a channel,” International Journal of Heat and Mass Transfer, 36, pp. 1783–1788 (1993).Google Scholar
11. Kim, S. Y., Kang, B. H. and Hyun, J. M., “Heat transfer from pulsating flow in a channel filled with porous media,” International Journal of Heat and Mass Transfer, 14, pp. 2025–2033 (1994).Google Scholar
12. Choi, S. U. S., “Enhancing thermal conductivity of fluids with nanoparticle,” Developments and applications of non-Newtonian flows, Siginer, D. A., Wang, H. P., Ed., ASME Fluids Engineering Division, New York, 231, pp. 99–105 (2009).Google Scholar
13. Khanafer, K. and Vafai, K., “A critical synthesis of thermophysical characteristics of nanofluids,” International Journal of Heat and Mass Transfer, 54, pp. 4410–4428 (2011).Google Scholar
14. Das, S. Jana, R. N. and Makinde, O. D., “Magnetohydrodynamic free convective flow of nanofluids past an oscillating porous plate in a rotating system with thermal radiation and Hall effects,” Journal of Mechanics, 46, pp. 551–560 (2007).Google Scholar
15. Bachok, N., Ishak, A. and Pop, I., “Boundary layer flow over a moving surface in a nanofluid with suction or injection,” Acta Mechanica Sinica, 28, pp. 34–40 (2012).Google Scholar
16. Akdag, U., Akcay, S. and Demiral, D., “Heat transfer enhancement with laminar pulsating nanofluid flow in a wavy channel,” International Communications in Heat and Mass Transfer, 59, pp. 17–23 (2014).Google Scholar
17. Srinivas, S., Reddy, A. S., Ramamohan, T. R. and Shukla, A. K., “Influence of heat transfer on MHD flow in a pipe with expanding or contracting permeable wall,” Ain Shams Engineering Journal, 5, pp. 817–830 (2014).Google Scholar
18. Beg, O. A., Makinde, O. D., Zueco, J., Swapan, and Ghosh, S. K., “Hydromagnetic viscous flow in a rotating annular high-porosity medium with nonlinear forchheimer drag effects: numerical study,” World Journal of Modelling and Simulation, 8, pp. 83–95 (2012).Google Scholar
19. Hajialigol, N., Fattahi, A., Ahmadi, M. H., Qomi, M. E. and Kakoli, E., “MHD mixed convection and entropy generation in a 3-D microchannel using Al 2 O 3-water nanofluid,” Journal of the Taiwan Institute of Chemical Engineers, 46, pp. 30–42 (2015).Google Scholar
20. Das, S., Mandal, H. K. and Jana, R. N., “Hall effects on unsteady rotating MHD flow through porous channel with variable pressure gradient,” International Journal of Computer Applications, 83, pp. 0975–8887 (2013).Google Scholar
21. Sharma, B. K., Sharma, M., Gaur, R. K. and Mishra, A., “Mathematical modeling of magneto pulsatile blood flow through a porous medium with a heat source,” International Journal of Applied Mechanics and Engineering, 20, pp. 385–396 (2015).Google Scholar
22. Agha, H. A., Bouaziz, M. N. and Hanini, S., “Magnetohydrodynamic, thermal radiation and convective boundary effects of free convection flow past a vertical plate embedded in a porous medium saturated with nanofluid,” Journal of Mechanics, 31, pp. 607–616 (2015).Google Scholar
23. Sheikholeslami, M., Abelman, S. and Ganji, D. D., “Numerical simulation of MHD nanofluid flow and heat transfer considering viscous dissipation,” International Journal of Heat and Mass Transfer, 79, pp. 212–222 (2014).Google Scholar
24. Malvandi, A. and Ganji, D. D., “Magnetic field effect on nanoparticles migration and heat transfer of water/alumina nanofluid in a channel,” Journal of Magnetism and Magnetic Materials, 362, pp. 172–179 (2014).Google Scholar
25. Sheikholeslami, M., Bandpy, M. G. and Ganji, D. D., “MHD free convection in an eccentric semi-annulus filled with nanofluid,” Journal of the Taiwan Institute of Chemical Engineers, 45, pp. 1204–1216 (2014).CrossRefGoogle Scholar
26. Srinivas, S., Vijayalakshmi, A., Ramamohan, T. R. and Reddy, A. S., “Hydromagnetic flow of a nanofluid in a porous channel with expanding or contracting walls,” Journal of Porous Media, 17, pp. 953–967 (2014).Google Scholar
27. Brewster, M. Q., Thermal radiative transfer and properties, Wiley, New York (1992).Google Scholar
28. Hayat, T., Sajjad, R., Abbas, Z., Sajjad, M. and Hendi, A. A., “Radiation effects on MHD flow of Maxwell fluid in a channel with porous medium,” International Journal of Heat and Mass Transfer, 54, pp. 854–862 (2011).Google Scholar
29. Srinivas, S., Shukla, A. K., Ramamohan, T. R. and Reddy, A. S., “Influence of thermal radiation on unsteady flow over an expanding or contracting cylinder with thermal-diffusion and diffusion-thermo effects,” Journal of Aerospace Engineering, 28, pp. 04014134: 1-10 (2015).Google Scholar
30. Mustafa, M., Mushtaq, A., Hayat, T. and Alsaedi, A., “Radiation effects in three-dimensional flow over a bi-directional exponentially stretching sheet,” Journal of the Taiwan Institute of Chemical Engineers, 47, pp. 43–49 (2015).Google Scholar
31. Pal, D., Vajravelu, K., and Mandal, G., “Convective-radiation effects on stagnation point flow of nanofluids over a stretching/shrinking surface with viscous dissipation,” Journal of Mechanics, 30, pp. 289–297 (2014).Google Scholar
32. Srinivas, S. and Muthuraj, R., “Effects of thermal radiation and space porosity on MHD mixed convection flow in a vertical channel using homotopy analysis method,” Communications in Nonlinear Science and Numerical Simulations, 15, pp. 2098–2108 (2010).Google Scholar
33. Rashidi, M. M., Ganesh, N. V., Hakeem, A. K. and Ganga, B., “Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation,” Journal of Molecular Liquids, 198, pp. 234–238 (2014).Google Scholar
34. Nadeem, S. and Haq, R. U., “MHD boundary layer flow of a nanofluid passed through a porous shrinking sheet with thermal radiation,” Journal of Aerospace Engineering, 28, pp. 04014061:1-9 (2015).Google Scholar
35. Zhang, C., Zheng, L., Zhang, X. and Chen, G., “MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction,” Applied Mathematical Modelling, 39, pp. 165–181 (2015).Google Scholar
36. Sheikholeslami, M., Ganji, D. D., Javed, M. Y. and Ellahi, R., “Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model,” Journal of Magnetism and Magnetic Materials, 374, pp. 36–43 (2015).Google Scholar
37. Wang, X. Q. and Mujumdar, A. S., “Heat transfer characteristics of nanofluids: a review,” International Journal of Thermal Sciences, 46, pp. 1–19 (2007).CrossRefGoogle Scholar
38. Sheikholeslami, M., Ganji, D. D., Gorji-Bandpy, M. and Soleimani, S., “Magnetic field effect on nanofluid flow and heat transfer using KKL model,” Journal of the Taiwan Institute of Chemical Engineers, 45, pp. 795–807 (2014).Google Scholar