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Heat Transfer Analysis of MHD Power Law Nano Fluid Flow through Annular Sector Duct

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Abstract

Flow and heat transfer analysis of an electrically conducting MHD power law nano fluid is carried out through annular sector duct, under the influence of constant pressure gradient. Two types of nano particles (i.e. Cu and TiO2) are used in power law nano fluid. Strongly implicit procedure, (SIP) is used to simulate the discretized coupled algebraic equations. It has been observed that volume fraction of nano particles, ϕ and magnetic field parameter, Ha are favourable for the heat transfer rate, however, both resist the fluid flow. Impact of applied uniform transverse magnetic field exceeds in the case of shear thickening fluids (i.e. n>1) by increasing the value of Ha as compared to that in shear thinning fluids (i.e. n<1). Therefore, enhancement in heat transfer rate is comparably more in shear thickening fluid. Furthermore, comparable limiting case study with published result is also carried out in this research paper.

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References

  1. Abou-Ziyan H.Z., Forced convection and subcooled flow boiling heat transfer in asymmetrically heated ducts of t-section. Energy Conversion and Management, 2004, 45(7-8): 1043–1065.

    Article  Google Scholar 

  2. Iqbal M., Syed K.S., Analysis of thermally developing laminar convection in the finned double-pipe heat exchanger. Heat Transfer Research, 2014, 45(1): 1–21.

    Article  Google Scholar 

  3. Vanaki S.M., Mohammed H.A., Numerical study of nanofluid forced convection flow in channels using different shaped transverse ribs. International Communications in Heat and Mass Transfer, 2015, 67: 176–188.

    Article  Google Scholar 

  4. Larimi M.M., Ghanaat A., Ramiar A., Ranjbar A.A., Forced convection heat transfer in a channel under the influence of various non-uniform transverse magnetic field arrangements. International Journal of Mechanical Sciences, 2016, 118: 101–112.

    Article  Google Scholar 

  5. El-Maghlany W.M., Sorour M.M., Hozien O., Experimental study of natural convection in an annulus between two eccentric horizontal square ducts. Experimental Thermal and Fluid Science, 2015, 65: 65–72.

    Article  Google Scholar 

  6. Zhang J., Liu J., Lu W., Study on laminar natural convection heat transfer from a hemisphere with uniform heat flux surface. Journal of Thermal Sciences, 2019, 28(2): 232–245.

    Article  ADS  Google Scholar 

  7. Matin M.H., Pop I., Khanchezar S., Natural convection of power law fluid between two-square eccentric duct annuli. Journal of Non-Newtonian Fluid Mechanics, 2013, 197: 11–23.

    Article  Google Scholar 

  8. Zerari K., Afrid M., Groulx D., Forced and mixed convection in the annulus between two horizontal confocal elliptical cylinders. International Journal of Thermal Sciences, 2013, 74: 126–144.

    Article  Google Scholar 

  9. Zhang W., Wang S., Li C., Xu J., Mixed convective heat transfer of CO2 at supercritical pressures flowing upward through a vertical helically coiled tube. Applied Thermal Engineering, Special Issue for International Heat Transfer Symposium 2014, 2015, 88: 61–70.

    Google Scholar 

  10. Mohammed H.A., Campo A., Saidur R., Experimental study of forced and free convective heat transfer in the thermal entry region of horizontal concentric annuli. International Communications in Heat and Mass Transfer, 2010, 37(7): 739–747.

    Article  Google Scholar 

  11. Ferdows M., Hamad M.A.A., MHD flow and heat transfer of a power law non-Newtonian nanofluid (Cu—2O) over a vertical stretching sheet. Journal of Applied Mechanics and Technical Physics, 2016, 57(4): 603–610.

    Article  ADS  MathSciNet  Google Scholar 

  12. Hayat T., Hussain M., Shehzad S.A., Alsaedi A., Flow of a power law nanofluid past a vertical stretching sheet with a convective boundary condition. Journal of Applied Mechanics and Technical Physics, 2016, 57(1): 173–179.

    Article  ADS  MathSciNet  Google Scholar 

  13. Kiyasatfar M., Pourmahmoud N., Laminar MHD flow and heat transfer of power-law fluids in square microchannels. International Journal of Thermal Sciences, 2016, 99: 26–35.

    Article  Google Scholar 

  14. Kiyasatfar M., Convective heat transfer and entropy generation analysis of non-Newtonian power-law fluid flows in parallel-plate and circular microchannels under slip boundary conditions. International Journal of Thermal Sciences, 2018, 128: 15–27.

    Article  Google Scholar 

  15. Madhu M., Kishan N., Finite element analysis of heat and mass transfer by mhd mixed convection stagnation- point flow of a non-Newtonian power-law nanofluid towards a stretching surface with radiation. Journal of the Egyptian Mathematical Society, 2016, 24: 458–470.

    Article  MathSciNet  Google Scholar 

  16. Zhang Y., Zhang M., Bai Y., Unsteady flow and heat transfer of power-law nanofluid thin film over a stretching sheet with variable magnetic field and power-law velocity slip effect. Journal of the Taiwan Institute of Chemical Engineers, 2017, 70: 104–110.

    Article  Google Scholar 

  17. Madhu M., Kishan N., Magneto-hydrodynamic mixed convection of a non-Newtonian power-law nanofluid past a moving vertical plate with variable density. Journal of the Nigerian Mathematical Society, 2016, 35: 199–207.

    Article  MathSciNet  Google Scholar 

  18. Renzoni P., Prakash C., Analysis of laminar flow and heat transfer in the entrance region of an internally finned concentric circular annular duct. ASME, Journal of Heat Transfer, 1987, 109(2): 532–538.

    Article  Google Scholar 

  19. Lin M.J., Wang Q.W., Tao Q.W., Developing laminar flow and heat transfer in annular-sector ducts. Heat Transfer Engineering, 2000, 21: 53–61.

    ADS  Google Scholar 

  20. Avci M., Aydin O., Laminar forced convection with viscous dissipation in a concentric annular duct. Comptes Rendus Mecanique, 2006, 334(3): 164–169.

    Article  ADS  Google Scholar 

  21. Iqbal M., Syed K.S., Thermally developing flow in finned double-pipe heat exchanger. International Journal for Numerical Methods in Fluid, 2011, 65: 1145–1159.

    Article  ADS  Google Scholar 

  22. Iqbal M., Ahmed F., Rashidi M.M., Simulation of MHD forced convection heat transfer through an annular sector duct. Journal of Thermophysics and Heat Transfer, 2018, 32(2): 469–474.

    Article  Google Scholar 

  23. Ahmed F., Iqbal M., Akbar N.S., Numerical study of forced convective power law fluid flow through an annulus sector duct. The European Physical Journal Plus, 2016, 131(9): 341.

    Google Scholar 

  24. Ahmed F., Iqbal M., Mhd power law fluid flow and heat transfer analysis through Darcy Brinkman porous media in annular sector. International Journal of Mechanical Sciences, 2017, 130: 508–517.

    Article  Google Scholar 

  25. Shah R.K., London A.L., Laminar Flow Forced Convection in Ducts. Academic Press, London, 1978.

    Google Scholar 

  26. Wang L., Chai Z., Shi B., Regularized lattice Boltzmann simulation of double-diffusive convection of power-law nanofluids in rectangular enclosures. International Journal of Heat and Mass Transfer, 2016, 102: 381–395.

    Article  Google Scholar 

  27. Hamad M.A.A., Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field. International Communications in Heat and Mass Transfer, 2011, 38(4): 487–492.

    Article  Google Scholar 

  28. Cimpean D.S., Pop I., Fully developed mixed convection flow of a nanofluid through an inclined channel filled with a porous medium. International Journal of Heat and Mass Transfer, 2012, 55(4): 907–914.

    Article  Google Scholar 

  29. Yacob N.A., Ishak A., Nazar R., Pop I., Falkner-skan problem for a static and moving wedge with prescribed surface heat flux in a nanofluid. International Communications in Heat and Mass Transfer, 2011, 38(2):149–153.

    Article  Google Scholar 

  30. Zhang C., Zheng L., Zhang X., Chen G., MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction. Applied Mathematical Modeling, 2015, 39: 165–181.

    Article  MathSciNet  Google Scholar 

  31. Bergman T.L., Lavine A.S., Incropera F.P., DeWitt D.P., Fundamentals of Heat and Mass Transfer. Wiley, 2011.

    Google Scholar 

  32. Iqbal M., Afaq H., Fluid flow and heat transfer through an annular sector duct filled with porous media. Journal of Porous Media, 2015, 18(7): 679–687.

    Article  Google Scholar 

  33. Patankar S.V., Numerical heat transfer and fluid flow. Taylor and Francis, 1971.

    Google Scholar 

  34. Peric M., Ferziger J.H., Computational methods for fluid dynamics. Springer, 2002.

    MATH  Google Scholar 

  35. Syed K.S., Iqbal M., Mir N.A., Convective heat transfer in the thermal entrance region of finned double-pipe. Heat Mass Transfer, 2007, 43: 449–457.

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. School of Natural Sciences, National University of Science and Technology, Islamabad, 44000, Pakistan

    Farhan Ahmed & Mazhar Iqbal

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  1. Farhan Ahmed
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  2. Mazhar Iqbal
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Correspondence to Farhan Ahmed.

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Ahmed, F., Iqbal, M. Heat Transfer Analysis of MHD Power Law Nano Fluid Flow through Annular Sector Duct. J. Therm. Sci. 29, 169–181 (2020). https://doi.org/10.1007/s11630-019-1126-4

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  • DOI: https://doi.org/10.1007/s11630-019-1126-4

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