A Study of magnetohydrodynamic Tangent Hyperbolic Nanofluid’s activation energy under non-linear thermal radiation and Cattaneo-Christov heat flux

YOUNUS MOHAMMED; Venkatalakshmi Akavaram

doi:10.26713/cma.v17i3.3626

Authors

YOUNUS MOHAMMED KESHAV MEMORIAL INSTITUTE OF TECHNOLOGY https://orcid.org/0000-0002-0619-6687
Venkatalakshmi Akavaram Professor of Mathematics, University College of Science, O.U., Hyderabad.

DOI:

https://doi.org/10.26713/cma.v17i3.3626

Keywords:

Cattaneo-Christov heat flux, Activation Energy, Non-linear Thermal radiation, Tangent Hyperbolic Nano fluid, shooting method, Velocity slip

Abstract

The current article examined numerically A.E. (activation energy) of mixed convective and radiative magnetohydrodynamic (MHD) Tangent Hyperbolic Nano fluid with heat flux model of Cattaneo-Christov and nonlinear thermal radiation across a sheet that is linearly stretched with zero mass flux and velocity slip boundary conditions. The impacts of several parameters on profiles of temperature, velocity, and concentration were examined and graphically interpreted. The outcomes closely resemble those seen in publicly available literature. For Weissenberg number , Slip Velocity Parameter and power law index , Magnetic parameter and buoyancy parameter Velocity profiles were drawn. The temperature profiles were drawn for Magnetic parameter, Weissenberg number, Radiation parameter Thermal relaxation parameter , Thermophoresis parameter, and Prandtl Number, Slip Velocity Parameter , temperature ratio parameter, and power law index. Concentration profile was examined for Thermophoresis parameter, velocity slip parameterand reaction rate constant power law index , Activation Energy, temperature difference , and Lewis Number, and Brownian motion parameter. Local Sherwood and Nusselt number and i friction coefficient were also calculated for a range of values.

4 0

Downloads

Download data is not yet available.

References

C. J. Huang, “Arrhenius Activation Energy Effect on Free Convection About a Permeable Horizontal Cylinder in Porous Media,” Transp. Porous Media, vol. 128, no. 2, pp. 723–740, 2019, doi: 10.1007/s11242-019-01267-1.

W. Abbas and M. M. Magdy, “Heat and Mass Transfer Analysis of Nanofluid Flow Based on Cu, Al2O3, and TiO2 over a Moving Rotating Plate and Impact of Various Nanoparticle Shapes,” Math. Probl. Eng., vol. 2020, 2020, doi: 10.1155/2020/9606382.

A. R. Bestman, “Natural convection boundary layer with suction and mass transfer in a porous medium,” Int. J. Energy Res., vol. 14, no. 4, pp. 389–396, 1990, doi: 10.1002/er.4440140403.

S. Anuradha and K. Sasikala, “MHD Free Convective Flow of a nanofluid over A Permeable Shrinking Sheet with Binary Chemical Reaction And Activation Energy.” [Online]. Available: www.ijesi.org

M. Dhlamini, P. K. Kameswaran, P. Sibanda, S. Motsa, and H. Mondal, “Activation energy and binary chemical reaction effects in mixed convective nanofluid flow with convective boundary conditions,” J. Comput. Des. Eng., vol. 6, no. 2, pp. 149–158, 2019, doi: 10.1016/j.jcde.2018.07.002.

A. Majeed, F. M. Noori, A. Zeeshan, T. Mehmood, S. U. Rehmand, and I. Khan, “Analysis of activation energy in magnetohydrodynamic flow with chemical reaction and second order momentum slip model,” Case Stud. Therm. Eng., vol. 12, pp. 765–773, Sep. 2018, doi: 10.1016/j.csite.2018.10.007.

K. Ganesh Kumar, A. Baslem, B. C. Prasannakumara, J. Majdoubi, M. Rahimi-Gorji, and S. Nadeem, “Significance of Arrhenius activation energy in flow and heat transfer of tangent hyperbolic fluid with zero mass flux condition,” Microsyst. Technol., vol. 26, no. 8, pp. 2517–2526, 2020, doi: 10.1007/s00542-020-04792-y.

M. Awais, P. Kumam, Memoona, A. Ali, Z. Shah, and H. Alrabaiah, “Impact of activation energy on hyperbolic tangent nanofluid with mixed convection rheology and entropy optimization,” Alexandria Eng. J., vol. 60, no. 1, pp. 1123–1135, 2021, doi: 10.1016/j.aej.2020.10.036.

N. Vedavathi, G. Dharmaiah, K. Venkatadri, and S. A. Gaffar, “Numerical study of radiative non-Darcy nanofluid flow over a stretching sheet with a convective Nield conditions and energy activation,” Nonlinear Eng., vol. 10, no. 1, pp. 159–176, 2021, doi: 10.1515/nleng-2021-0012.

M. Ijaz, M. S. Alqarni, F. Salah, and M. Y. Malik, “Numerical simulation of Joule heating and Arrhenius activation energy for nonlinear radiative flow of Casson nanofluid with Cattaneo-Christov heat flux model,” Phys. Scr., vol. 95, no. 2, 2020, doi: 10.1088/1402-4896/ab41ac.

S. U. Khan, H. Waqas, S. A. Shehzad, and M. Imran, “Theoretical analysis of tangent hyperbolic nanoparticles with combined electrical MHD, activation energy and Wu’s slip features: A mathematical model,” Phys. Scr., vol. 94, no. 12, Sep. 2019, doi: 10.1088/1402-4896/ab399f.

H. Waqas, A. Kafait, T. Muhammad, and U. Farooq, “Numerical study for bio-convection flow of tangent hyperbolic nanofluid over a Riga plate with activation energy,” Alexandria Eng. J., vol. 61, no. 2, pp. 1803–1814, 2022, doi: 10.1016/j.aej.2021.06.068.

M. Younus, “Numerical investigation of activation energy of radiative magnetohydrodynamic Williamson nanofluid flow,” no. February, 2022, doi: 10.1002/htj.22588.

S. R. R. Reddy, P. B. A. Reddy, and A. M. Rashad, “Effectiveness of binary chemical reaction on magneto-fluid flow with Cattaneo–Christov heat flux model,” Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., vol. 235, no. 12, pp. 2192–2200, Jun. 2021, doi: 10.1177/0954406220950347.

I. Shravani, D. Ramya, and S. Joga, “MHD tangent hyperbolic nanofluid with zero normal flux of nanoparticles at the stretching surface with thermal radiation,” Jordan J. Mech. Ind. Eng., vol. 12, no. 3, pp. 171–177, 2019.

S. Jabeen, T. Hayat, S. Qayyum, and A. Alsaedi, “Significance of activation energy in stratified flow of tangent hyperbolic fluid,” Int. J. Numer. Methods Heat Fluid Flow, vol. 29, no. 8, pp. 2932–2947, 2019, doi: 10.1108/HFF-12-2018-0795.

S. Eswaramoorthi, N. Alessa, M. Sangeethavaanee, S. Kayikci, and N. Namgyel, “Mixed Convection and Thermally Radiative Flow of MHD Williamson Nanofluid with Arrhenius Activation Energy and Cattaneo-Christov Heat-Mass Flux,” J. Math., vol. 2021, 2021, doi: 10.1155/2021/2490524.

T. Muhammad, A. Alsaedi, S. A. Shehzad, and T. Hayat, “A revised model for Darcy-Forchheimer flow of Maxwell nanofluid subject to convective boundary condition,” Chinese J. Phys., vol. 55, no. 3, pp. 963–976, 2017, doi: 10.1016/j.cjph.2017.03.006.

K. V. Prasad, H. Vaidya, K. Vajravelu, and V. Ramanjini, “Analytical study of Cattaneo-Christov heat flux model for Williamson-nanofluid flow over a slender elastic sheet with variable thickness,” J. Nanofluids, vol. 7, no. 3, pp. 583–594, Jun. 2018, doi: 10.1166/jon.2018.1475.

K. Venkata Ramana, K. Gangadhar, T. Kannan, and A. J. Chamkha, “Cattaneo–Christov heat flux theory on transverse MHD Oldroyd-B liquid over nonlinear stretched flow,” J. Therm. Anal. Calorim., vol. 147, no. 3, pp. 2749–2759, Feb. 2022, doi: 10.1007/s10973-021-10568-x.

W. Ibrahim, “Magnetohydrodynamics (MHD) flow of a tangent hyperbolic fluid with nanoparticles past a stretching sheet with second order slip and convective boundary condition,” Results Phys., vol. 7, pp. 3723–3731, 2017, doi: 10.1016/j.rinp.2017.09.041.

W. Ibrahim and M. Negera, “MHD slip flow of upper-convected Maxwell nanofluid over a stretching sheet with chemical reaction,” J. Egypt. Math. Soc., vol. 28, no. 1, pp. 1–28, 2020, doi: 10.1186/s42787-019-0057-2.

S. Ittedi, D. Ramya, and S. Joga, “Partial Slip Effect of MHD Boundary Layer Flow of Nanofluids and Radiative Heat Transfer over a permeable Stretching Sheet,” vol. 13, no. 7, pp. 3083–3103, 2017.

P. Suresh, N. L. Bhikshu, M. V. R. Murthy, and K. Gangadhar, “EFFECTS OF HOMOGENOUS- HETEROGENOUS REACTIONS ON ELECTRICALLY CONDUCTING POWELL- ERYING FLUID WITH VARIABLE SUCTION OR INJECTION,” vol. 13, no. 1, pp. 59–72, 2017.

L. Bhikshu, Y. V. K. R. Kumar, T. V. A. P. Sastry, and M. V. R. Murthy, “Soret and Dufour effect on the Peristaltic Transport of Third Order Fluid in a Channel with Variable Viscosity,” vol. 13, no. 9, pp. 6113–6127, 2017.

F. M. Ali, R. Nazar, N. M. Arifin, and I. Pop, “MHD boundary layer flow and heat transfer over a stretching sheet with induced magnetic field,” Heat Mass Transf. und Stoffuebertragung, vol. 47, no. 2, pp. 155–162, 2011, doi: 10.1007/s00231-010-0693-4.

P. Title, A. Publication, D. Article, and T. Orcid, “Radiative Magnetohydrodynamics Casson Nanofluid Flow and Heat and Mass Transfer past on Nonlinear Stretching Surface,” vol. 1, no. 1, pp. 0–22, 2021, doi: 10.3762/bxiv.2021.65.v1.

K. G. Kumar, N. G. Rudraswamy, B. J. Gireesha, and S. Manjunatha, “Non linear thermal radiation effect on Williamson fluid with particle-liquid suspension past a stretching surface,” Results Phys., vol. 7, pp. 3196–3202, 2017, doi: 10.1016/j.rinp.2017.08.027.