Heat and mass transfer in unsteady Magneto-Hydrodynamic (MHD) nanofluid (Silver-water) flow through a divergent conduit with chemical reaction and radiation has been investigated. The study aimed to determine the distribution of energy and nanoparticles in the system. The governing non-linear partial differential equations are transformed into non-linear ordinary differential equations using similarity transforms and numerically solved using the spectral collocation method. The resultant system of equations has been implemented in MATLAB to generate graphical results. The rate of heat transfer increased with an increase in the Eckert number and Joule heating parameter and decreased with increasing radiation parameter whereas the mass transfer rate increased with an increase in the Schmidt number, Soret number, and Chemical reaction parameter. These research findings would be useful to engineers and researchers in designing optimal heat exchanger systems to maximize heat and mass transfers in the geothermal industry.
References
[1]
Haroun, N.A., Sibanda, P., Mondal, S. and Motsa, S.S. (2015) On Unsteady MHD Mixed Convection in a Nanofluid Due to a Stretching/shrinking Surface with Suction/Injection Using the Spectral Relaxation Method. BoundaryValueProblems, 2015, Article No. 24. https://doi.org/10.1186/s13661-015-0289-5
[2]
Phelan, P.E., Bhattacharya, P. and Prasher, R.S. (2005) Nanofluids for Heat Transfer Applications. AnnualReviewofHeatTransfer, 14, 255-275. https://doi.org/10.1615/annualrevheattransfer.v14.160
[3]
Alfvén, H. (1942) Existence of Electromagnetic-Hydrodynamic Waves. Nature, 150, 405-406. https://doi.org/10.1038/150405d0
[4]
Habiyaremye, F., Wainaina, M. and Kimathi, M. (2022) The Effect of Heat and Mass Transfer on Unsteady MHD Nanofluid Flow through Convergent-Divergent Channel. InternationalJournalofFluidMechanics&ThermalSciences, 8, 10-22. https://doi.org/10.11648/j.ijfmts.20220801.12
[5]
Zubair Akbar, M., Ashraf, M., Farooq Iqbal, M. and Ali, K. (2016) Heat and Mass Transfer Analysis of Unsteady MHD Nanofluid Flow through a Channel with Moving Porous Walls and Medium. AIPAdvances, 6, Article No. 045222. https://doi.org/10.1063/1.4945440
[6]
Govardhan, K., Narender, G. and Sarma, G.S. (2020) Heat and Mass Transfer in MHD Nanofluid over a Stretching Surface along with Viscous Dissipation Effect. InternationalJournalofMathematical, EngineeringandManagementSciences, 5, 343-352. https://doi.org/10.33889/ijmems.2020.5.2.028
[7]
Ullah, I., Khan, I. and Shafie, S. (2016) MHD Natural Convection Flow of Casson Nanofluid over Nonlinearly Stretching Sheet through Porous Medium with Chemical Reaction and Thermal Radiation. NanoscaleResearchLetters, 11, 1-15. https://doi.org/10.1186/s11671-016-1745-6
[8]
Pushpalath, K., Sugunamma, V., Reddy, J.V.R. and Sandeep, N. (2016) Heat and Mass Transfer in Unsteady MHD Casson Fluid Flow with Convective Boundary Conditions. InternationalJournalofAdvancedScienceandTechnology, 91, 19-38. https://doi.org/10.14257/ijast.2016.91.03
[9]
Sujatha, T., Reddy, K.J. and Kumar, J.G. (2019) Chemical Reaction Effect on Nonlinear Radiative MHD Nanofluid Flow over Cone and Wedge. DefectandDiffusionForum, 393, 83-102. https://doi.org/10.4028/www.scientific.net/ddf.393.83
[10]
Richard Onyango, E., Ngugi Kinyanjui, M., Kimathi, M. and Mohan Uppal, S. (2020) Heat and Mass Transfer on MHD Jeffrey-Hamel Flow in Presence of Inclined Magnetic Field. AppliedandComputationalMathematics, 9, 108-117. https://doi.org/10.11648/j.acm.20200904.11
[11]
Mohyud-Din, S.T., Khan, U., Ahmed, N. and Rashidi, M.M. (2018) A Study of Heat and Mass Transfer on Magnetohydrodynamic (MHD) Flow of Nanoparticles. PropulsionandPowerResearch, 7, 72-77. https://doi.org/10.1016/j.jppr.2018.02.001
[12]
Nyariki, E.M., Kinyanjui, M.N. and Abonyo, J.O. (2023) Heat and Mass Transfers in a Two-Phase Stratified Turbulent Fluid Flow in a Geothermal Pipe with Chemical Reaction. JournalofAppliedMathematicsandPhysics, 11, 484-513. https://doi.org/10.4236/jamp.2023.112030
[13]
Nyabuti, V., Kiogora, P.R., Onyango, E. and Nyawade, E. (2024) Unsteady MHD Nanofluid Flow through a Divergent Conduit with Chemical Reaction and Radiation. InternationalJournalofFluidMechanics&ThermalSciences, 10, 1-14. https://doi.org/10.11648/j.ijfmts.20241001.11
[14]
Sharma, K., Vijay, N., Mabood, F. and Badruddin, I.A. (2022) Numerical Simulation of Heat and Mass Transfer in Magnetic Nanofluid Flow by a Rotating Disk with Variable Fluid Properties. InternationalCommunicationsinHeatandMassTransfer, 133, Article ID: 105977. https://doi.org/10.1016/j.icheatmasstransfer.2022.105977
[15]
A. Reddy, P.S. and Chamkha, A. (2018) Heat and Mass Transfer Characteristics of MHD Three-Dimensional Flow over a Stretching Sheet Filled with Water-Based Alumina Nanofluid. InternationalJournalofNumericalMethodsforHeat&FluidFlow, 28, 532-546. https://doi.org/10.1108/hff-02-2017-0061
[16]
Pantokratoras, A. (2014) Natural Convection along a Vertical Isothermal Plate with Linear and Non-Linear Rosseland Thermal Radiation. InternationalJournalofThermalSciences, 84, 151-157. https://doi.org/10.1016/j.ijthermalsci.2014.05.015
[17]
Dogonchi, A.S. and Ganji, D.D. (2016) Investigation of MHD Nanofluid Flow and Heat Transfer in a Stretching/shrinking Convergent/divergent Channel Considering Thermal Radiation. JournalofMolecularLiquids, 220, 592-603. https://doi.org/10.1016/j.molliq.2016.05.022
[18]
Mahbubul, I.M., Fadhilah, S.A., Saidur, R., Leong, K.Y. and Amalina, M.A. (2013) Thermophysical Properties and Heat Transfer Performance of Al2O3/r-134a Nanorefrigerants. InternationalJournalofHeatandMassTransfer, 57, 100-108. https://doi.org/10.1016/j.ijheatmasstransfer.2012.10.007
[19]
Syam Sundar, L., Singh, M.K. and Sousa, A.C.M. (2013) Investigation of Thermal Conductivity and Viscosity of Fe3o4 Nanofluid for Heat Transfer Applications. InternationalCommunicationsinHeatandMassTransfer, 44, 7-14. https://doi.org/10.1016/j.icheatmasstransfer.2013.02.014
[20]
Nagler, J. (2017) Jeffery-Hamel Flow of Non-Newtonian Fluid with Nonlinear Viscosity and Wall Friction. AppliedMathematicsandMechanics, 38, 815-830. https://doi.org/10.1007/s10483-017-2206-8
[21]
Sattar, M.A. (2013) Derivation of the Similarity Equation of the 2D Unsteady Boundary Layer Equations and the Corresponding Similarity Conditions. AmericanJournalofFluidDynamics, 3, 135.