Radiative MHD Boundary Layer Flow and Heat Transfer Characteristics of Fe-Casson Base Nanofluid over Stretching/Shrinking Surface

Abstract:

In this paper, there is considered MHD boundary layer flow and heat transfer characteristics of Fe-Casson base nanofluid over an exponentially stretching/shrinking surface along the heat source/sink and Newtonian heating effects. In this regard, to develop the system of the governing equations, the one phase model named as Tiwari and Das model is considered with iron nanoparticles. The non-linear governing PDEs are first changed into the system of ODEs using suitable similarity transformations. Later on, the equations are solved numerically by using bvp4c in Matlab software. Effects of certain physical parameters on skin friction coefficient and the local Nusselt number are illustrated graphically. Moreover, the velocity and temperature profiles are examined to observe the influence of various physical parameters such as, Casson, magnetic, suction, radiation, Newtonian heating, heat source/sink and the nanoparticles volume fractions. It is seen that an increase in Casson, magnetic, suction and the nanoparticle volume fractions decrease the velocity profiles for both shrinking and shrinking cases of surface. The temperature profile recedes due to augmentation of Prandlt number and the suction parameter for both stretching/shrinking case while increases with increase in Magnetic, radiation and nanoparticles volume fractions.

• Periodical: Defect and Diffusion Forum (Volume 431)
• Pages: 131-145
• DOI: https://doi.org/10.4028/p-Ha0ZuD
• Online since: February 2024
• Authors: M. Asif Memon, Kavikumar Jacob, Hazoor Bux Lanjwani, Adebowale Martins Obalalu*, D. Nagarajan
• Keywords: Casson Base Nanofluid, Heat Transfer, MHD Boundary Layer Flow, Newtonian Heating

References

[1] S. Kakac, Y. Yener, A. Pramuanjaroenkij, Convective heat transfer. Vol. 2. Boca Raton: CRC press; 1995.

[2] S.U. Choi, J.A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles (No. ANL/MSD/CP-84938; CONF-951135-29). Argonne National Lab., IL (United States); 1995.

[3] Q. Xiong, A. Hajjar, B. Alshuraiaan, M. Izadi, S. Altnji, S.A. Shehzad, State-of-the-art review of nanofluids in solar collectors: A review based on the type of the dispersed nanoparticles. Journal of Cleaner Production. 2021;310:127528.

DOI: 10.1016/j.jclepro.2021.127528

[4] M.S. Khan, T. Dil, Heat transfer enhancement through automobile radiator. AIP advances. 2017; 7(4):045018.

[5] J. Buongiorno, et al, Nanofluids for enhanced economics and safety of nuclear reactors: an evaluation of the potential features, issues, and research gaps. Nuclear Technology. 2008;162(1):80-91.

DOI: 10.13182/nt08-a3934

[6] J. Kananathan, et al, Nanofluid as coolant for grinding process: An overview. IOP Conf. Ser.: Mater. Sci. Eng. 2018;342:012078.

DOI: 10.1088/1757-899x/342/1/012078

[7] M. Sheikhpour, et al, Role of nanofluids in drug delivery and biomedical technology: Methods and applications. Nanotechnology, Science and Applications. 2020:47-59.

DOI: 10.2147/nsa.s260374

[8] S.H. Elhag, A.A. Memon, M.A. Memon, K. Bhatti, K. Jacob, S. Alzahrani, J. Seidu, Analysis of forced convection with hybrid Cu-Al2O3 nanofluids injected in a three-dimensional rectangular channel containing three perpendicular rotating blocks with turbulent modeling. J. Nanomater. 2022. 2022;2446972.

DOI: 10.1155/2022/2446972

[9] H.B. Lanjwani, K. Malik, M.S. Chandio, M.M. Shaikh, Stability Analysis of Boundary Layer Flow and Heat Transfer of Fe2O3 and Fe-Water Base Nanofluid over a Stretching/Shrinking Sheet with Radiation Effect. Engineering, Technology & Applied Science Research. 2022;12(1).

DOI: 10.48084/etasr.4649

[10] H.F. Oztop, E. Abu-Nada, Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int. J. Heat Fluid Flow. 2008;29:1326–1336.

DOI: 10.1016/j.ijheatfluidflow.2008.04.009

[11] F. Soltani, D. Toghraie, A. Karimipour, Experimental measurements of thermal conductivity of engine oil-based hybrid and mono nanofluids with tungsten oxide (WO3) and MWCNTs inclusions, Powder Technol. 371 (2020) 37–44.

DOI: 10.1016/j.powtec.2020.05.059

[12] I. Waini, A. Ishak, I. Pop, Dufour and Soret effects on Al2O3-water nanofluid flow over a moving thin needle: Tiwari and Das model. Int. J. Numer. Methods Heat Fluid Flow. 2021, 31(3), pp.766-782.

DOI: 10.1108/hff-03-2020-0177

[13] U. Arif, M.A. Memon, R.S. Saif, A.S. El-Shafay, M. Nawaz, T. Muhammad, Triple diffusion with heat transfer under different effects on magnetized hyperbolic tangent nanofluid flow. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering. (2022)

DOI: 10.1177/09544089221079139

[14] J. Buongiorno, Convective transport in nanofluids. Journal of heat transfer. 2006;128(3):240-250.

DOI: 10.1115/1.2150834

[15] R. K. Tiwari, M.K. Das, Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. International Journal of Heat and Mass Transfer. 2007; 50(9-10):2002-2018.

DOI: 10.1016/j.ijheatmasstransfer.2006.09.034

[16] S. T. Mohyud-Din, et al, A study of heat and mass transfer on magnetohydrodynamics (MHD) flow of nanoparticles. Propulsion and Power Research. 2018;7(1):72-77.

DOI: 10.1016/j.jppr.2018.02.001

[17] A. Ishak, R. Nazar, I. Pop, Magnetohydrodynamic (MHD) flow and heat transfer due to a stretching cylinder. Energy Conversion and Management. 2008;49(11):3265-3269.

DOI: 10.1016/j.enconman.2007.11.013

[18] G.S. Seth, R.N. Jana, M.K. Maiti, Unsteady hydromagnetic Couette flow in a rotating system, Int. J. Eng. Sci. 20 (9) (1982) 989–999.

DOI: 10.1016/0020-7225(82)90034-9

[19] N. A. Shah, N. Ahmed, T. Elnaqeeb, M.M. Rashidi, Magnetohydrodynamic free convection flows with thermal memory over a moving vertical plate in porous medium, J. Appl. Comput. Mech. 5 (1) (2019) 150–161.

[20] M. Azam, A. Shakoor, H.F. Rasool, M. Khan, Numerical simulation for solar energy aspects on unsteady convective flow of MHD Cross nanofluid: a revised approach, Int. J. Heat Mass Tran. 131 (2019) 495–505.

DOI: 10.1016/j.ijheatmasstransfer.2018.11.022

[21] N. Casson, A flow equation for pigment oil suspensions of the printing ink type. In: Rheology of disperse systems. Mill CC (Ed.) Pergamon Press, Oxford 22 (1959), 84–102.

[22] K. A. Abro, H.S. Shaikh, I. Khan, A mathematical study of magnetohydrodynamic Casson fluid via special functions with heat and mass transfer embedded in a porous plate. arXiv preprint arXiv:1706.03829. 2017.

[23] M. Y. Malik, M. Naseer, S. Nadeem, A. Rehman, The boundary layer flow of Casson nanofluid over a vertical exponentially stretching cylinder, Applied Nanoscience, (2013), doi 10.1007/s13204-013- 0267-0.

DOI: 10.1007/s13204-013-0267-0

[24] S. Mukhopadhyay, et al, Casson fluid flow over an unsteady stretching surface. Ain Shams Engineering Journal. 2013;4(4):933-938.

DOI: 10.1016/j.asej.2013.04.004

[25] J. Venkatesan, D.S. Sankar, K. Hemalatha, Y. Yatim, Mathematical analysis of Casson fluid model for blood rheology in stenosed narrow arteries, Journal of Applied Mathematics 44 (2013), 1–11.

DOI: 10.1155/2013/583809

[26] A. S. Oke, W. N. Mutuku, M. Kimathi, I. L. Animasaun, Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force. Nonlinear Engineering. 2020;9(1):398-411.

DOI: 10.1515/nleng-2020-0025

[27] M. Nakamura, T. Sawada, Numerical study on the flow of a non-Newtonian fluid through an axisymmetric stenosis. 1988;137-143.

DOI: 10.1115/1.3108418

[28] E. Hafidzuddin, R. Nazar, N. Arifin, et al, Boundary layer flow and heat transfer over a permeable exponentially stretching/shrinking sheet with generalized slip velocity. J Appl Fluid Mech. 2016;9:2025-2036.

DOI: 10.18869/acadpub.jafm.68.235.24834