Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-05T19:57:25.735Z Has data issue: false hasContentIssue false
  • English
  • Français

Flow and Heat Transfer of Gold-Blood Nanofluid in a Porous Channel with Moving/Stationary Walls

Published online by Cambridge University Press:  09 November 2016

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

Abstract

The present study investigates the flow and heat transfer characteristics of blood carrying gold nanoparticles in a porous channel with moving/stationary walls in the presence of thermal radiation. Blood is considered as Newtonian fluid which is the base fluid and gold (Au) as nanoparticles. The governing equations are transformed into system of ordinary differential equations by using similarity transformations. The analytical solutions are obtained for the flow variables by employing homotopy analysis method (HAM). The analytical solutions are compared with the numerical solutions which are obtained by shooting technique along with Runge-Kutta scheme. It was noticed that there is a good agreement between analytical and numerical results. The influence of various parameters on velocity, temperature and heat transfer rate of gold-blood nanofluid has been discussed in detail. The temperature of the nanofluid increases with increasing the nanoparticle volume fraction. The heat transfer rate at the top wall increases with increasing nanoparticle volume fraction while it decreases for a given increase in radiation parameter.

Keywords

Gold-blood nanofluidPorous channelThermal radiationDarcy number
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 3 , June 2017 , pp. 395 - 404
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. Ahmadi, A. R., Zahmatkesh, A., Hatami, M. and Ganji, D.D., “A Comprehensive Analysis of the Flow and Heat Transfer for a Nanofluid over an Unsteady Stretching Flat Plate,” Powder Technology, 258, pp. 125–133 (2014).Google Scholar
2. 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
3. Fukumori, Y. and Ichikawa, H., “Nanoparticles for Cancer Therapy and Diagnosis,” Advanced Powder Technology, 17, pp. 1–28 (2006).Google Scholar
4. Kleinstreuer, C., Li, J. and Koo, J., “Microfluidics of Nano-Drug Delivery,” International Journal of Heat and Mass Transfer, 51, pp. 5590–5597 (2008).CrossRefGoogle Scholar
5. Domairry, G. and Hatami, M., “Squeezing Cu-Water Nanofluid Flow Analysis between Parallel Plates by DTM Padé Method,” Journal of Molecular Liquids, 193, pp. 37–44 (2014).Google Scholar
6. Hatami, M. and Ganji, D.D., “Natural Convection of Sodium Alginate (SA) Non-Newtonian Nanofluid Flow between Two Vertical Flat Plates by Analytical and Numerical Methods,” Case Studies in Thermal Engineering, 2, pp. 14–22 (2014).Google Scholar
7. Choi, S. U. S., “Enhancing Thermal Conductivity of Fluids with Nanoparticle,” In: Siginer, D. A, Wang, H. P., editors., “Developments and Applications of Non-Newtonian Flows,” New York: ASME FED, 231, pp. 99–105 (2009).Google Scholar
8. Buongiorno, J., “Convective Heat Transport in Nanofluids,” ASME Journal of Heat Transfer, 128, pp. 240–250 (2006).Google Scholar
9. Hatami, M. and Ganji, D.D., “Heat Transfer and Flow Analysis for SA-TiO2 Non-Newtonian Nanofluid Passing Through the Porous Media between Two Coaxial Cylinders,” Journal of Molecular Liquids, 188, pp. 155–161 (2013).CrossRefGoogle Scholar
10. Ozotop, H.F. and Abu-nada, E., “Numerical Study of Natural Convection in Partially Heated Rectangular Enclosures Filled with Nanofluids,” International Journal of Heat and Fluid Flow, 29, pp. 1326–1336 (2008).CrossRefGoogle Scholar
11. Kim, J., Kang, Y.T. and Choi, C.K., “Analysis of Convective Instability and Heat Transfer Characteristics of Nanofluids,” Physics of Fluids, 16, pp. 2395–2401 (2004).CrossRefGoogle Scholar
12. Hatami, M., Hatami, J. and Ganji, D.D., “Computer Simulation of MHD Blood Conveying Gold Nanoparticles as a Third Grade Non-Newtonian Nanofluid in a Hollow Porous Vessel,” Computer Methods and Programs in Biomedicine, 113, pp. 632–641 (2014).Google Scholar
13. 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
14. Bachok, N., Ishak, A. and Pop, I., “The Boundary Layers of an Unsteady Stagnation Point Flow in a Nanofluid,” International Journal of Heat and Mass Transfer, 55, pp. 6499–6505 (2012).CrossRefGoogle Scholar
15. Mustafa, M., Hayat, T. and Alsaedi, A., “Unsteady Boundary Layer Flow of Nanofluid Past an Impulsively Stretching Sheet,” Journal of Mechanics, 29, pp. 423–432 (2013).Google Scholar
16. 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
17. Das, A., Jana, R.N. and Makinde, O.D., “Magnetohydrodynamic Free Convective Flow of Nanofluids Past an Oscillating Porous Flat Plate in a Rotating System with Thermal Radiation and Hall Effects,” Journal of Mechanics, 32, pp. 197–210 (2016).CrossRefGoogle Scholar
18. Rahman, M.M. and Eltayeb, I.A., “Radiative Heat Transfer in a Hydromagnetic Nanofluid Past a Non-Linear Stretching Surface with Convective Boundary Condition,” Meccanica, 48, pp. 601–615 (2013).Google Scholar
19. Zheng, L., Zhang, C., Zhang, X. and Zhang, J., “Flow and Radiation Heat Transfer of a Nanofluid over a Stretching Sheet with Velocity Slip and Temperature Jump in Porous Medium,” Journal of the Franklin Institute, 350, pp. 990–1007 (2013).Google Scholar
20. 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
21. Zhang, C., Zheng, L., Zhang, X. and Chen, G., “MHD Flow and 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
22. Majdalani, J., Zhou, C. and Dawson, C.A., “Two-Dimensional Viscous Flow between Slowly Expanding or Contracting Walls with Weak Permeability,” Journal of Biomechanics, 35, pp. 1399–1403 (2002).Google Scholar
23. Debruge, L.L. and Han, L.S., “Heat Transfer in a Channel with a Porous Wall for Turbine Cooling Application,” ASME Journal of Heat Transfer, 94, pp. 385–390 (1972).CrossRefGoogle Scholar
24. Cox, S.M., “Two Dimensional Flow of a Viscous Fluid in a Channel with Porous Walls,” Journal of Fluid Mechanics, 227, pp. 1–33 (1991).Google Scholar
25. Hooman, K., Haji-Sheikh, A. and Nield, D.A., “Thermally Developing Brinkman-Brinkman Forced Convection in Rectangular Ducts with Isothermal Walls,” International Journal of Heat and Mass Transfer, 50, pp. 3521–3533 (2007).Google Scholar
26. Layeghi, M. and Seyf, H.R. “Fluid Flow in an Annular Micro Channel Subjected to Uniform Wall Injections,” Journal of Fluids Engineering, 130, 054502 (2008).CrossRefGoogle Scholar
27. Seyf, H.R. and Rassoulinejad-Mousavi, S.M. “He's Homotopy Method for Investigation of Flow and Heat Transfer in a Fluid Saturated Porous Medium,” World Applied Science Journal, 15, pp. 1791–1799 (2011).Google Scholar
28. Rassoulinejad-Mousavi, S.M., Seyf, H.R. and Abbasbandy, S. “Heat Transfer through a Porous Saturated Channel with Permeable Walls using Two Equation Energy Model,” Journal of Porous Media, 16, pp. 241–254 (2013).Google Scholar
29. Fakour, M., Vahabzadeh, A., Ganji, D.D. and Hatami, M., “Analytical Study of Micropolar Fluid Flow and Heat Transfer in a Channel with Permeable Walls,” Journal of Molecular Liquids, 204, pp. 198–204 (2015).Google Scholar
30. Haji-Sheikh, A. and Vafai, K., “Analysis of Flow and Heat Transfer in Porous Media Imbedded inside Various-Shaped Ducts,” International Journal of Heat and Mass Transfer, 47, pp. 1889–1905 (2004).CrossRefGoogle Scholar
31. Jankowski, T.A. and Majdalani, J., “Laminar Flow in a Porous Channel with Large Wall Suction and a Weakly Oscillatory Pressure,” Physics of Fluids, 14, pp. 1101–1110 (2002).Google Scholar
32. Seyf, H.R. and Rassoulinejad-Mousavi, S.M., “An Analytical Study for Fluid Flow in a Porous Media Imbedded inside a Channel with Moving or Stationary Walls Subjected to Injection/Suction,” Journal of Fluids Engineering, 133, 091203 (2011).Google Scholar
33. Tzirtzilakis, E.E., “A mathematical model for blood flow in magnetic field,” Physics of Fluids, 17, 077103 (2005).Google Scholar
34. Papadopoulos, P.K. and Tzirtzilakis, E.E., “Biomagnetic Flow in a Curved Square Duct Under the Influence of an Applied Magnetic Field,” Physics of Fluids, 16, pp. 2952–2962 (2005).CrossRefGoogle Scholar
35. Misra, J.C. and Ghosh, S.K., “A Mathematical Model for the Study of Blood Flow through a Channel with Permeable Walls,” Acta Mechanica, 122, pp. 137–153 (1997).CrossRefGoogle Scholar
36. Misra, J.C., Sinha, A. and Shit, G.C., “A Numerical Model for the Magnetohydrodynamic Flow of Blood in a Porous Channel,” Journal of Mechanics in Medicine and Biology, 11, pp. 547–562 (2011).CrossRefGoogle Scholar
37. Ghasemi, S.E., Hatami, M., Sarokolaie, A.K. and Ganji, D.D., “Study on Blood Flow Containing Nanoparticles through Porous Arteries in Presence of Magnetic Field Using Analytical Methods,” Physica E: Low dimensional Systems and Nanostructures, 70, pp. 146–156 (2015).Google Scholar
38. Liao, S.J., Beyond Perturbation: Introduction to Homotopy Analysis Method, Chapman and Hall, CRC Press, Boca Raton (2003).Google Scholar
39. Hang, X., Lin, Z.L., Liao, S.J. and Majdalani, J., “Homotopy Based Solutions of the Navier-Stokes Equations for a Porous Channel with Orthogonally Moving Walls,” Physics of Fluids, 22, 053601 (2010).Google Scholar
40. Liao, S.J., “An Analytic Solution of Unsteady Boundary-Layer Flows Caused by an Impulsively Stretching Plate,” Communications in Nonlinear Science and Numerical Simulation, 11, pp. 326–339 (2006).Google Scholar
41. Abbasbandy, S., “The Application of Homotopy Analysis Method to Nonlinear Equations Arising Heat Transfer,” Physics Letters A, 360, pp. 109–113 (2006).CrossRefGoogle Scholar
42. Rashidi, M.M., Hayat, T., Erfani, E., Pour, S.A.M. and Hendi, A.A., “Simultaneous Effects of Partial Slip and Thermal-Diffusion and Diffusion-Thermo on Steady MHD Convective Flow due to a Rotating Disk,” Communications in Nonlinear Science and Numerical Simulation, 16, pp. 4303–4317 (2011).CrossRefGoogle Scholar
43. Srinivas, S., Gupta, A., Gulati, S. and Subramanyam Reddy, A., “Flow and Mass Transfer Effects on Viscous Fluid in a Porous Channel with Moving/Stationary Walls in Presence of Chemical Reaction,” International Communications in Heat and Mass Transfer, 48, pp. 34–39 (2013).Google Scholar