Unsteady MHD flow of Maxwell fluid with Caputo–Fabrizio non-integer derivative model having slip/non-slip fluid flow and Newtonian heating at the boundary
Tóm tắt
The purpose of this manuscript is to investigate the unsteady magnetohydrodynamics flow of a Maxwell fluid with conjugate effects of heat and mass transfer under the slip and non-slip conditions at the boundary. Moreover, we apply the Caputo–Fabrizio fractional derivative to model the proposed problem. We consider the fluid in a porous medium over a vertical plate with ramped temperature. We take into consideration the influence of thermal radiation in the energy equations. We solve the governing equations by Laplace transform technique, and we use the Stehfest’s algorithm to find the inverse Laplace transform. Hence, we obtain the semianalytical solutions for temperature, concentration and velocity in case of ramped temperature as well as for both slip and non-slip conditions and general motion of the plate. We demonstrate the numerical results by some figures.
Tài liệu tham khảo
A Hussanan, M I Anwar, F Ali, I Khan, and S Shafie Heat Trans. Res. 45 119 (2014)
A Hussanan, Z Ismail, I Khan, A G Hussein, and S Shafie Eur. Phys. J. Plus 1 10 (2014)
A Michael, Erken 33 285 (1990)
A Kumar and S Kumar Proc. Natl. Acad. Sci. 88 95 (2018)
A Jajarmi, B Ghanbari, and D Baleanu AIP J. Non-linear Sci. 29 93 (2019)
B Ghanbari and D Kumar Chaos 29 63 (2019)
B Ghanbari and J F Gomez-Aguilar AIP J. Non-linear Sci. 29 113 (2019)
B Ghanbari and S Djilali Chaos Soliton Fract 138 109960 (2020)
B Ghanbari and A Atangana Stat. Mech. Appl. 542 123 (2020)
B Ghanbari, S Kumar, and R Kumar Chaos Soliton Fract 133109 (2020)
B Ghanbari and C Cattani Chaos Soliton Fract 136 109 (2020)
B Ghanbari, H Gunerhan, and H M Srivastava Chaos Soliton Fract 138 109 (2020)
C Fetecau Int. J. Nonlinear Mech. 38 603 (2003)
C L M H Navier Sci. Inst. France 1 414 (1823)
D K Tong, X M Zhang, and X H Zhang Non-Newtonian Fluid Mech. 156 75 (2009)
D Y Tzou Macro to Microsca Heat Trans Washigto Wiley Taylor and Francis (1970)
D Baleanu, M Jleli, S Kumar, and B Samet Adv. Differ. Equ.252 136 (2020)
F Mainardi and R Gorenflo Int. J. Theory Appl. 10 269 (2007)
F Olsson and J Ystrm Non-Newtonian Fluid Mech. 48 125 (1993)
H Sheng, Y Li, and Y Q Chen Frank. Inst. 348 317 (2011)
H Stehfest Commun. ACM 13 47 (1970)
I Khan, F Ali, U S Haq, and S Shafie J. Phys. Sci. 10 1 (2013)
I Khan, N A Shah, Y Mashud, and D Vieru Eur. Phys. J. Plus 15 132 (2017)
J C Maxwell Kinamat. Theory Gas 1 197 (2003)
J J Choi, Z Rusak, and J A Tichy J. NonNewton Fluid Mech. 85 165 (1999)
J Singh, D Kumar, and S Kumar Comput. Appl. Math. 39 137 (2020)
M A Imran, M B Riaz, N A Shah, and A A Zafar Elsevier 8 1061 (2018)
M Abdullah, N Raza, A R Butt, and E U Haque Can J. Phys. 95 472 (2017)
M Caputo and M Fabrizio Progr. Fract. Differ. Appl. 2 73 (2015)
M Takashima Phys. Lett. 33 371 (1970)
M M A Khater, B Ghanbari, K S Nisar, and D Kumar AEJ (2020)
M K Bansal, S Lal, D Kumar, S Kumar, and J Singh Math. Methods Appl. Sci. 1066 (2020)
P Veeresha, D G Prakasha, and S Kumar Math. Methods Appl. Sci. 10 63 (2020)
R Pit, H Hervet, and L Leger Tribol. Lett. 7 147 (1999)
S Kumar AEJ 52 813 (2013)
S Djilali, B Ghanbari, S Bentout, and A Mezouaghi Chaos Soliton Fract 138 109954 (2020)
S Djilali and B Ghanbari Chaos Soliton Fract 138 109 (2020)
S Kumar, R Kumar, C Cattani, and B Samet Chaos, Soliton Fract. 135 109 (2020)
S Kumar, S Ghosh, M S M Lotayif, and B Samet AEJ 59 1435 (2020)
S Kumar, K S Nisar, R Kumar, C Cattani, and B Samet Math. Methods Appl. Sci. 43 4460 (2020)
S Kumar, A Kumar, Z Odibat, M Aldhaifallah, and K S Nisar AIMS Math. 5 3035 (2020)
T D Blake Elsevier Sci. 47 135 (1990)
T H Qi and J G Liu Eur. Phys. J. Spec. Top. 193 71 (2011)
T Madeeha, M A Imran, N Raza, M Abdullah, and A Maryam Res. Phys. 7 1887 (2017)
T Allahviranloo and B. Ghanbari Chaos Soliton Fract 130 109 (2020)
Z Abbas, M Sajid, and T Hayat Theor. Comput. Fluid Dyn. 20 229 (2006)
Z Odibat and S Kumar Comput. Nonlinear Dyn. 14 (2019)