Abstract
The impacts of slip on the peristaltic transport of magneto-Williamson nanofluid under double-diffusivity convection is investigated numerically. The proposed problem is first mathematically formulated, and then simplified using a long wavelength and low Reynolds number assessment. We use Mathematica software to calculate the numerical solution because the governing equations are nonlinear. To test the numerical solution, we created graphical outputs of the main physical characteristics of interest.
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M Mishra and A R Rao, Z. Angew. Math. Phys. 54, 532 (2004)
A H Shapiro, M Y Jaffrin and S L Weinberg J. Fluid Mech. 37, 799 (1969)
M V Subba Reddy, M Mishra, S Sreenadh and A Ramachandra Rao, J. Fluids Eng. 127, 824 (2005)
Safia Akram, Kh S Mekheimer and Y Abd elmaboud, Alex. Eng. J. 57, 407 (2018)
A H Abd El-Naby and A E M El-Misiery, Appl. Math. Comput. 128, 19 (2002)
S Nadeem and Safia Akram, Commun. Nonlinear Sci. Numer. Simul. 15, 1705 (2010)
R Ellahi, A Riaz, S Nadeem and M Ali, Math. Probl. Eng. 2012, 329639 (2012)
R Ellahi, M Mubashir Bhatti, A Riaz and M Sheikholeslami, J Porous Media 17, 143 (2014)
A Riaz, A Zeeshan, S Ahmad, A Razaq and M Zubair, J. Magn. 24, 1 (2019)
Safia Akram and S Nadeem, J. Magn. Magn. Mater. 328, 11 (2013)
R Ellahi, A Riaz, S Sohail and M Mushtaq, Appl. Math. Inf. Sci. 7, 1441 (2013)
S Haider, N Ijaz, A Zeeshan and Yun-Zhang Li, Int. J. Numer. Methods Heat Fluid Flow 30, 2501 (2019)
S Munawar and N Saleem, Coatings 10, 240 (2020)
S Akram, S Nadeem and M Hanif, J. Magn. Magn. Mater. 346, 142 (2013)
Kh S Mekheimer, Phys. Lett. A 372, 4271 (2008)
R Saravana, S Sreenadh, P Rajesh Kumar and V Ramesh Babu, J. Nav. Archit. Mar. Eng. 17, 79 (2020)
S Nadeem, N S Akbar, T Hayat and S Obaidat, Int. J. Heat Mass Transf. 55, 1855 (2012)
X Mandviwalla and R Archer, J. Fluids Eng. 130, 124501 (2008)
A Riaz, S U D Khan, A Zeeshan, S U Khan, M Hassan and T Muhammad, J. Therm. Anal. Calorim. 143, 1997 (2021)
S Akram and S Nadeem, IEEE Trans. Nanotechnol. 13, 375 (2014)
S Srinivas, R Gayathri and M Kothandapani, Comput. Phys. Commun. 180, 2115 (2009)
E H Aly and A Ebaid, J. Mech. 30, 411 (2014)
K Vajravelu, S Sreenadh and R Saravana, Appl. Math. Comput. 225, 656 (2013)
J C Maxwell, (Clarendon Press, Oxford, 1881)
S U S Choi, ASME FED 66, 99 (1995)
K Khanafer, K Vafai and M Lightstone, Int. J. Heat Mass Transf. 46, 3639 (2003)
S Kakac and A Pramuanjaroenkij, Int. J. Heat Mass Transf. 52, 3187 (2009)
H I Andersson, Acta Mech. 158, 121 (2002
C Y Wang, Chem. Eng. Sci. 57, 3745 (2002)
T Fang, Ji Zhang and S Yao, Commun. Nonlinear. Sci. Numer. Simul. 14, 3731 (2009)
R A Van Gorder, E Sweet and K Vajravelu, Commun. Nonlinear. Sci. Numer. Simul. 15, 1494 (2010)
L Bocquet and J L Barrat, Soft Matter 3, 685 (2007)
A Sharma, D Tripathi, R K Sharma and A K Tiwari, Physica A 535, 122148 (2019)
Q Afzal and S Akram, J. Therm. Anal. Calorim. 143, 2291 (2021)
H Alolaiyan, A Riaz, A Razaq, N Saleem, A Zeeshan and M M Bhatti, Coatings 10,154 (2020)
S Akram, M Athar and K Saeed, Case Stud. Therm. Eng. 25, 100965 (2021)
S Akram, M Athar, K Saeed and M Y Umair, Eur. Phys. J. Plus 136, 494 (2021)
O Anwar Bég and D Tripathi, Proc. Inst. Mech. Eng. N: J. Nanomater. Nanoeng. Nanosyst. 225, 99 (2012)
S Akram, M Zafar and S Nadeem, Int. J. Geom. Methods Mod. Phys. 15, 1850181 (2018)
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Akram, S., Athar, M., Saeed, K. et al. Impact of slip on nanomaterial peristaltic pumping of magneto-Williamson nanofluid in an asymmetric channel under double-diffusivity convection. Pramana - J Phys 96, 57 (2022). https://doi.org/10.1007/s12043-021-02287-7
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DOI: https://doi.org/10.1007/s12043-021-02287-7
Keywords
- Inclined magnetic field
- double-diffusivity convection
- nanofluids
- Williamson fluid
- asymmetric channel
- slip boundaries