Approximate Analytical Expression for the Influence of Flow of MHD Nanofluids on Heat and Mass Transfer

Authors

  • S. Punitha Research Scholar, Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India
  • V. Ananthaswamy Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India
  • V.K.Santhi PG Department of Mathematics, The Meenakshi Arts College for women (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

DOI:

https://doi.org/10.37934/cfdl.15.11.4866

Keywords:

Nanofluids,, Stretching sheet, Magnetic field, Non-linear boundary value problems, Modified q-Homotopy analysis method

Abstract

In depth analysis on the boundary layer flow of magnetohydrodynamic nanofluids is conducted in this study. The analytical results are estimated for temperature profile, concentration profile, reduced Nusselt number and reduced sherwood number using Modified q-Homotopy analysis method. Also, the impacts of numerous physical parameters such as the magnetic field, the Eckert number, the thermophoresis parameter, Brownian parameter and Lewis number are discussed in detail. Comparing our obtained results with numerical solution results in a very good fit. Additionally, the findings are displayed graphically. Reduced skin friction, reduced Nusselt number and reduced Sherwood number are shown in table representation. This method can be extended to physical, chemical, and engineering sciences.

Author Biographies

S. Punitha, Research Scholar, Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

shyampunitha14@gmail.com

V. Ananthaswamy, Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

ananthu9777@gmail.com

V.K.Santhi, PG Department of Mathematics, The Meenakshi Arts College for women (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

vkshanthi@yahoo.co.in

References

Hakeem, A. K., R. Kalaivanan, B. Ganga, and N. Vishnu Ganesh. "Effect of elastic deformation on nano-second grade fluid flow over a stretching surface." Frontiers in Heat and Mass Transfer (FHMT) 10 (2018). http://dx.doi.org/10.5098/hmt.10.20

Vleggaar, J. "Laminar boundary-layer behaviour on continuous, accelerating surfaces." Chemical Engineering Science 32, no. 12 (1977): 1517-1525. https://doi.org/10.1016/0009-2509(77)80249-2

Weiss, Philip. "Extrusion of plastics, EG Fisher, Halsted Press, New York, 1976, 344 pp., $22.50." (1978): 52-53. https://doi.org/10.1002/pol.1978.130160111

Choi, S. US, and Jeffrey A. Eastman. Enhancing thermal conductivity of fluids with nanoparticles. No. ANL/MSD/CP-84938; CONF-951135-29. Argonne National Lab.(ANL), Argonne, IL (United States), 1995. https://www.osti.gov/servlets/purl/196525.

Oztop, Hakan F., and Eiyad Abu-Nada. "Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids." International journal of heat and fluid flow 29, no. 5 (2008): 1326-1336. https://doi.org/10.1016/j.ijheatfluidflow.2008.04.009

Eastman, Jeffrey A., S. U. S. Choi, Sheng Li, W. Yu, and L. J. Thompson. "Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles." Applied physics letters 78, no. 6 (2001): 718-720. http://dx.doi.org/10.1063/1.1341218

Mintsa, Honorine Angue, Gilles Roy, Cong Tam Nguyen, and Dominique Doucet. "New temperature dependent thermal conductivity data for water-based nanofluids." International journal of thermal sciences 48, no. 2 (2009): 363-371. https://doi.org/10.1016/j.ijthermalsci.2008.03.009

Abd Elazem, Nader Y. "Numerical results for influence the flow of MHD nanofluids on heat and mass transfer past a stretched surface." Nonlinear Engineering 10, no. 1 (2021): 28-38. https://doi.org/10.1515/nleng-2021-0003

Kakaç, Sadik, and Anchasa Pramuanjaroenkij. "Review of convective heat transfer enhancement with nanofluids." International journal of heat and mass transfer 52, no. 13-14 (2009): 3187-3196. https://doi.org/10.1016/j.ijheatmasstransfer.2009.02.006

Kuznetsov, A. V., and D. A. Nield. "Natural convective boundary-layer flow of a nanofluid past a vertical plate." International Journal of Thermal Sciences 49, no. 2 (2010): 243-247. https://doi.org/10.1016/j.ijthermalsci.2009.07.015

Noghrehabadi, A., P. Salamat, and M. Ghalambaz. "Integral treatment for forced convection heat and mass transfer of nanofluids over linear stretching sheet." Applied Mathematics and Mechanics 36 (2015): 337-352. https://doi.org/10.1007/s10483-015-1919-6

Mansur, S., A. Ishak, and I. Pop. "Flow and heat transfer of nanofluid past stretching/shrinking sheet with partial slip boundary conditions." Applied Mathematics and Mechanics 35, no. 11 (2014): 1401-1410. https://doi.org/10.1007/s10483-014-1878-7

Das, Sarit K., Stephen U. Choi, Wenhua Yu, and T. Pradeep. Nanofluids: science and technology. John Wiley & Sons, 2007.

Turkyilmazoglu, M. "Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids." Chemical Engineering Science 84 (2012): 182-187. https://doi.org/10.1016/j.ces.2012.08.029

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 38, no. 4 (2011): 487-492. https://doi.org/10.1016/j.icheatmasstransfer.2010.12.042

Niazi, M. D. K., and Hang Xu. "Modelling two-layer nanofluid flow in a micro-channel with electro-osmotic effects by means of Buongiorno’s mode." Applied Mathematics and Mechanics 41, no. 1 (2020): 83-104. https://doi.org/10.1007/s10483-020-2558-7

Elgazery, Nasser S., and Nader Y. Abd Elazem. "Effects of viscous dissipation and Joule heating on natural convection flow of a viscous fluid from heated vertical wavy surface." Zeitschrift für Naturforschung A 66, no. 6-7 (2011): 427-440. https://doi.org/10.1515/zna-2011-6-708

Elazem, Nader Y. Abd. "Numerical solution for nanofluid flow past a permeable stretching or shrinking sheet with slip condition and radiation effect." Journal of Computational and Theoretical Nanoscience 12, no. 10 (2015): 3827-3834. https://doi.org/10.1166/jctn.2015.4288

Abd Elazem, Nader Y. "Numerical solution for the effect of suction or injection on flow of nanofluids past a stretching sheet." Zeitschrift für Naturforschung A 71, no. 6 (2016): 511-515. https://doi.org/10.1515/zna-2016-0035

Kameswaran, P. K., M. Narayana, P. Sibanda, and P. V. S. N. Murthy. "Hydromagnetic nanofluid flow due to a stretching or shrinking sheet with viscous dissipation and chemical reaction effects." International Journal of Heat and Mass Transfer 55, no. 25-26 (2012): 7587-7595. https://doi.org/10.1016/j.ijheatmasstransfer.2012.07.065

Makinde, O. D. "Analysis of Sakiadis flow of nanofluids with viscous dissipation and Newtonian heating." Applied Mathematics and Mechanics 33 (2012): 1545-1554. https://doi.org/10.1007/s10483-012-1642-8

Mousavi, Seyed Mahdi, Saeed Dinarvand, and Mohammad Eftekhari Yazdi. "Generalized second-order slip for unsteady convective flow of a nanofluid: a utilization of Buongiorno’s two-component nonhomogeneous equilibrium model." Nonlinear Engineering 9, no. 1 (2020): 156-168. https://doi.org/10.1515/nleng-2020-0005

Pavlov, K. B. "Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface." Magnitnaya Gidrodinamika 4, no. 1 (1974): 146-147. http://doi.org/10.22364/mhd

Takhar, Harmindar S., Ali J. Chamkha, and Girishwar Nath. "Unsteady three-dimensional MHD-boundary-layer flow due to the impulsive motion of a stretching surface." Acta Mechanica 146, no. 1-2 (2001): 59-71. https://doi.org/10.1007/BF01178795

Liao, Shi-Jun. "An approximate solution technique not depending on small parameters: a special example." International Journal of Non-Linear Mechanics 30, no. 3 (1995): 371-380. https://doi.org/10.1016/0020-7462(94)00054-E

Liao, Shi-jun. "A kind of approximate solution technique which does not depend upon small parameters—II. An application in fluid mechanics." International Journal of Non-Linear Mechanics 32, no. 5 (1997): 815-822. https://doi.org/10.1016/S0020-7462(96)00101-1

Liao, Shi-Jun. "An explicit, totally analytic approximate solution for Blasius’ viscous flow problems." International Journal of Non-Linear Mechanics 34, no. 4 (1999): 759-778. https://doi.org/10.1016/S0020-7462(98)00056-0

Liao, Shi-Jun. "A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate." Journal of Fluid Mechanics 385 (1999): 101-128.

Ananthaswamy V, T. Nithya and V. K. Santhi. “Mathematical analysis of the Navier-stokes equations for steady Magnetohydrodynamic flow.” Journal of Information and Computational Science 10, no. 3 (2020): 989-1003.

Sumathi, C., V. Ananthaswamy, and V. K. Santhi. "Semi analytical expressions of mixed convection micropolar fluid flow using the q-Homotopy analysis method." In AIP Conference Proceedings, vol. 2378, no. 1. AIP Publishing, 2021. https://doi.org/10.1063/5.0058276

Reddy, Yanala Dharmendar, B. Shankar Goud, M. Riaz Khan, Mohamed Abdelghany Elkotb, and Ahmed M. Galal. "Transport properties of a hydromagnetic radiative stagnation point flow of a nanofluid across a stretching surface." Case Studies in Thermal Engineering 31 (2022): 101839. https://doi.org/10.1016/j.csite.2022.101839

Bejawada, Shankar Goud, Yanala Dharmendar Reddy, Wasim Jamshed, Mohamed R. Eid, Rabia Safdar, Kottakkaran Sooppy Nisar, Siti Suzilliana Putri Mohamed Isa, Mohammad Mahtab Alam, and Shahanaz Parvin. "2D mixed convection non-Darcy model with radiation effect in a nanofluid over an inclined wavy surface." Alexandria Engineering Journal 61, no. 12 (2022): 9965-9976. https://doi.org/10.1016/j.aej.2022.03.030

Reddy, Y. Dharmendar, Fateh Mebarek-Oudina, B. Shankar Goud, and A. I. Ismail. "Radiation, velocity and thermal slips effect toward MHD boundary layer flow through heat and mass transport of Williamson nanofluid with porous medium." Arabian Journal for Science and Engineering 47, no. 12 (2022): 16355-16369. https://doi.org/10.1007/s13369-022-06825-2

Goud, B. Shankar, P. Pramod Kumar, and Bala Siddulu Malga. "Effect of heat source on an unsteady MHD free convection flow of Casson fluid past a vertical oscillating plate in porous medium using finite element analysis." Partial Differential Equations in Applied Mathematics 2 (2020): 100015. https://doi.org/10.1016/j.padiff.2020.100015

Shankar Goud, Bejawada, Yanala Dharmendar Reddy, and Satyaranjan Mishra. "Joule heating and thermal radiation impact on MHD boundary layer Nanofluid flow along an exponentially stretching surface with thermal stratified medium." Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems (2022): 23977914221100961. https://doi.org/10.1177/23977914221100961

Khan, Umair, William Pao, Nabihah Sallih, and Farruk Hassan. "Flow Regime Identification in Gas-Liquid Two-Phase Flow in Horizontal Pipe by Deep Learning." Journal of Advanced Research in Applied Sciences and Engineering Technology 27, no. 1 (2022): 86-91. https://doi.org/10.37934/araset.27.1.8691

Ismail, Rifky, Deni Fajar Fitriyana, Athanasius Priharyoto Bayuseno, Putut Yoga Pradiptya, Rilo Chandra Muhamadin, Fariz Wisda Nugraha, Andri Setiyawan et al. "Investigating the Effect of Deacetylation Temperature on the Characterization of Chitosan from Crab Shells as a Candidate for Organic Nanofluids." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 103, no. 2 (2023): 55-67. https://doi.org/10.37934/arfmts.103.2.5567

Khan, W. A., and I. Pop. "Boundary-layer flow of a nanofluid past a stretching sheet." International journal of heat and mass transfer 53, no. 11-12 (2010): 2477-2483. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2010.01.032

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Published

2023-09-30

How to Cite

S. Punitha, V. Ananthaswamy, & V.K.Santhi. (2023). Approximate Analytical Expression for the Influence of Flow of MHD Nanofluids on Heat and Mass Transfer. CFD Letters, 15(11), 48–66. https://doi.org/10.37934/cfdl.15.11.4866

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