Abstract
In this article, the effect of thermo-diffusion and diffusion-thermo on hyperbolic tangent magnetised nanofluid with Hall current past a nonlinear porous stretching surface has been analysed numerically. The impact of thermal slip and chemical reaction are also examined in our current analysis. Runge–Kutta–Merson method and shooting method have been successfully employed to obtain numerical results for the governing nonlinear differential equations. The impact of Hartmann number, Hall parameter, porosity parameter, fluid parameter, Weissenberg number, Richardson number, concentration buoyancy parameter, Schmidt number, Dufour parameter, Soret number, Prandtl number, chemical reaction parameter, and power-law exponent are discussed and demonstrated graphically for the flow phenomena. Furthermore, the description for Sherwood number, rate of shear stress, and Nusselt number are displayed using tables against all the pertinent parameters. A detailed numerical comparison for the power-law exponent and Prandtl number has been elaborated via tables.
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J Buongiorno, L W Hu, S J Kim, R Hannink, B Truong and E Forrest, Am. Nucl. Soc. 162, 80 (2009)
R Saidur, K Y Leong and H A Mohammad, Renew. Sustain. Energy. Rev. 15, 1646 (2011)
Z H Liu and Y Y Li, Int. J. Heat Mass Transf. 55, 6786 (2012)
N.S Akbar, S Nadeem, C Lee, Z H Khan and R U Haq, Result Phys. 3, 161 (2013)
S Nadeem, R Mehmood and N S Akbar, Int. J. Therm. Sci. 78, 90 (2014)
M M Rashidi, N Freidoonimehr, A Hosseini, O A Bég and T K Hung, Meccanica 49, 469 (2014)
M Sheikholeslami, M M Rashidi, D M Al Saad, F Firouzi, H B Rokni and G Domairry, J. King Saud Uni-Sci.28(4), 380 (2016)
T Hayat, S Asad, M Mustafa and A Alsaedi, Comput. Fluid. 108, 179 (2015)
T Hayat, T Muhammad, S A Shehzad and A Alsaedi, AIP Adv. 5, 017107 (2015)
S T Mohyud-Din, Z A Zaidi, U Khan and N Ahmed, Aerospace Sci. Technol. 46, 514 (2015)
J A Khan, M Mustafa, T Hayat and A Alsaedi, Int. J. Heat Mass Transf. 86, 158 (2015)
M Mustafa, J A Khan, T Hayat and A Alsaedi, Int. J. Nonlinear Mech. 71, 22 (2015)
T Hayat, M Hussain, S A Shehzad and A Alsaedi, J. Appl. Mech. Tech. Phys. 57, 173 (2016)
M M Bhatti, A Shahid and M M Rashidi, Alexandria Eng. J. 55, 51 (2016)
M M Bhatti and M M Rashidi, J. Mol. Liq. 221, 567 (2106)
S M S Murshed, K C Leong and C Yang, Appl. Therm. Eng. 28, 2109 (2008)
C Scherer and A M F Neto, Braz. J. Phys. 35, 718 (2005)
N S Akbar, S Nadeem, R U Haq and Z H Khan, Chin. J. Aeronaut. 26, 1389 (2013)
M Sheikholeslami, S Abelman and D D Ganji, Int. J. Heat Mass Transf. 79, 212 (2014)
M Sheikholeslami and S Abelman, IEEE Trans. Nanotechnol. 14, 561 (2015)
M Sheikholeslami and R Ellahi, Int. J. Heat Mass Transf. 89, 799 (2015)
M Sheikholeslami, N S Akbar and M T Mustafa, Therm. Sci.21(95), 95 (2015)
R Ellahi, M Hassan and A Zeeshan, IEEE Trans.Nanotechnol. 14, 726 (2015)
A Zeeshan, R Ellahi and M Hassan, Euro. Phys. J. Plus 129, 1 (2015)
J Qing, M M Bhatti, M A Abbas, M M Rashidi and M E S Ali, Entropy 18, 123 (2016)
M M Bhatti, T Abbas, M M Rashidi, M E S Ali and Z Yang, Entropy 18, 224 (2016)
M M Bhatti and M M Rashidi, Int. J. Appl. Comput. Math.3(3), 2275 (2017)
M M Bhatti, T Abbas, M M Rashidi and M E S Ali, Entropy 18, 200 (2016)
I S Oyelakin, S Mondal and P Sibanda, Alexandria Eng. J. 55(2), 1025 (2016)
M M Bhatti, A Zeeshan and R Ellahi, Pramana – J. Phys. 89(3): 48 (2017)
T Mahmood, Z Iqba and A Shahzad, Pramana – J. Phys. 92(2): 14 (2019)
P K Kameswaran, M Narayana, P Sibanda and P V S N Murthy, Int. J. Heat Mass Transf. 55, 7587 (2012)
M A El-Aziz, Phys. Scr. 89, 085205 (2014)
C Zhang, L Zheng, X Zhang and G Chen, Appl. Math. Model. 39, 165 (2015)
D Pal and G Mandal, Nucl. Eng. Des. 273, 644 (2014)
C A Reddy and B Shankar, World J. Mech. 5, 211 (2015)
G K Ramesh, B J Gireesha, T Hayat and A Alsaedi, J. Nanofluid. 4, 100 (2015)
W A Khan, A S Alshomrani, A K Alzahrani, M Khan and M Irfan, Pramana – J. Phys. 91(5): 63 (2018)
S P Goqo, S Mondal, P Sibanda and S S Mots, J. Comput. Theor. Nanosci. 13(10), 7483 (2016)
M Khan, M Irfan and W A Khan, Pramana – J. Phys. 92(2): 17 (2019)
S R Mishra, P K Pattnaik, M M Bhatti and T Abbas, Indian J. Phys. 91(10), 1219 (2017)
S R Mishra and M M Bhatti, Chin. J. Chem. Eng. 25(9), 1137 (2017)
N Freidoonimehr, B Rostami, M M Rashidi and E Momoniat, Math. Prob. Eng. 2014, Article ID 692728 (2014), https://dx.doi.org/10.1155/2014/692728
P K Kameswaran, S Shaw, P Sibanda and P V S N Murthy, Int. J. Heat Mass Transf. 57, 465 (2013)
A B Rosmila, R Kandasamy and I Muhaimin, Appl. Math. Mech. 33, 593 (2012)
M Sheikholeslami, H R Ashorynejad, G Domairry and I Hashim, J. Appl. Math.2012, Article ID 421320 (2012), https://dx.doi.org/10.1155/2012/421320
A Malvandi, F Hedayati and M R H Nobari, J. Appl. Fluid Mech.7(1), 135 (2014)
M G Reddy, P Padma, B Shankar and B J Gireesha, J. Nanofluids 5, 753 (2016)
D Pal, G Mandal and K Vajravelu, J. Nanofluids 5, 375 (2016)
S Shaw, C H Ram Reddy, P V S N Murthy and P Sibanda, J. Nanofluids5, 408 (2016)
R Cortell, Appl. Math. Comput. 184, 864 (2007)
K A Yih, Int. Commun. Heat Mass Transf. 26, 95 (1999)
L J Grubka and K M Bobba, ASME J. Heat Transf. 107, 248 (1985)
M E Ali, Wärme-Stoffübertr. 29, 227 (1994)
O Anwar Bég, A Y Bakier and V R Prasad, Comput. Mater. Sci. 46(1), 57 (2009)
P De, Bionanoscience9(1), 7 (2019)
S I Abdelsalam and M M Bhatti, RSC Adv. 8(15), 7904 (2018)
R Ellahi, M M Bhatti and I Pop, Int. J. Numer. Methods Heat Fluid Flow 26(6), 1802 (2016)
M J Uddin, O A Bég and A I Ismail, J. Thermophys. Heat Transfer 29, 513 (2015)
M M Bhatti, A Zeeshan, R Ellahi, O A Bég and A Kadir, Chin. J. Phys. 58, 222 (2019)
W X Ma, Jie Li and C M Khalique, Complexity2018, 9059858 (2018)
W X Ma, J. Appl. Anal. Comput. 9, 1 (2019)
W X Ma, Front. Math. China 14(3), 619 (2019)
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Bhatti, M.M., Yousif, M.A., Mishra, S.R. et al. Simultaneous influence of thermo-diffusion and diffusion-thermo on non-Newtonian hyperbolic tangent magnetised nanofluid with Hall current through a nonlinear stretching surface. Pramana - J Phys 93, 88 (2019). https://doi.org/10.1007/s12043-019-1850-z
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DOI: https://doi.org/10.1007/s12043-019-1850-z