Abstract.
The current paper contains the simultaneous analysis of both Newtonian and non-Newtonian nanofluid models. The fluid flow is achieved by considering the no-slip condition subject to a stretched cylindrical surface. The flow regime manifests with pertinent physical effects, namely temperature stratification, concentration stratification, thermal radiation, heat generation, magnetic field, dual convection and chemical reaction. The strength of fluid temperature and nanoparticles concentration adjacent to an inclined cylindrical surface is assumed to be higher than the ambient flow field. A mathematical model is developed in terms of differential equations. A self-constructed numerical algorithm is executed to report the numerical solution. The resultant annotations are illustrated through both tables and graphs. It is noticed that the Casson fluid shows significant variations with respect to the involved physical parameters as compared to the Newtonian fluid model. Moreover, the analysis is certified through comparison with the existing values in a limiting sense.
Graphical abstract
Similar content being viewed by others
References
Stephen U.S. Choi, Jeffrey A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, No. ANL/MSD/CP--84938, CONF-951135--29, Argonne National Lab, IL, USA, 1995
S.U.S. Choi, Z.G. Zhang, WLockwoodFE Yu, F.E. Lockwood, E.A. Grulke, Appl. Phys. Lett. 79, 2252 (2001)
Sidi El Becaye Maiga, Samy Joseph Palm, Cong Tam Nguyen, Gilles Roy, Nicolas Galanis, Int. J. Heat Fluid Flow 26, 530 (2005)
Hyun Uk Kang, Sung Hyun Kim, Je Myung Oh, Exp. Heat Transf. 19, 181 (2006)
Jacopo Buongiorno, J. Heat Transf. 128, 240 (2006)
Xiang-Qi Wang, Arun S. Mujumdar, Braz. J. Chem. Eng. 25, 613 (2008)
W.A. Khan, I. Pop, Int. J. Heat Mass Transf. 53, 2477 (2010)
Tariq Hussain, Sabir Ali Shehzad, Tasawar Hayat, Ahmed Alsaedi, Falleh Al-Solamy, Muhammad Ramzan, PLoS ONE 9, e103719 (2014)
Tasawar Hayat, Arsalan Aziz, Taseer Muhammad, Bashir Ahmad, PLoS ONE 10, e0145332 (2015)
Changwei Pang, Jae Won Lee, Yong Tae Kang, Int. J. Therm. Sci. 87, 49 (2015)
Jahar Sarkar, Pradyumna Ghosh, Arjumand Adil, Renew. Sustain. Energy Rev. 43, 164 (2015)
S.U. Rahman, R. Ellahi, Sohail Nadeem, Q.M. Zaigham Zia, J. Mol. Liq. 218, 484 (2016)
M. Akbarzadeh, S. Rashidi, M. Bovand, R. Ellahi, J. Mol. Liq. 220, 1 (2016)
R. Ellahi, A. Zeeshan, Mohsan Hassan, Int. J. Numer. Methods Heat Fluid Flow 26, 2160 (2016)
Kamel Milani Shirvan, Mojtaba Mamourian, Soroush Mirzakhanlari, R. Ellahi, J. Mol. Liq. 220, 888 (2016)
N. Shehzad, A. Zeeshan, R. Ellahi, K. Vafai, J. Mol. Liq. 222, 446 (2016)
Khalil Ur Rehman, M.Y. Malik, O.D. Makinde, A.A. Malik, Eur. Phys. J. Plus 132, 427 (2017)
Kamel Milani Shirvan, Rahmat Ellahi, Mojtaba Mamourian, Mohammad Moghiman, Int. J. Heat Mass Transf. 107, 1110 (2017)
J.A. Esfahani, M. Akbarzadeh, Saman Rashidi, M.A. Rosen, R. Ellahi, Int. J. Heat Mass Transf. 109, 1162 (2017)
Khalil Ur Rehman, Abid Ali Khan, M.Y. Malik, O.D. Makinde, J. Braz. Soc. Mech. Sci. Eng. 39, 3669 (2017)
Mehdi Bahiraei, Morteza Hangi, J. Magn. & Magn. Mater. 374, 125 (2015)
M. Ramzan, M. Bilal, J. Mol. Liq. 215, 212 (2016)
Abid Hussanan, Ilyas Khan, Hasmawani Hashim, Muhammad Khairul Anuar Mohamed, Nazila Ishak, Norhafizah Md Sarif, Mohd Zuki Salleh, J. Teknol. 78, 2 (2016)
A.S. Dogonchi, D.D. Ganji, J. Mol. Liqu. 220, 592 (2016)
M. Sheikholeslami, Q.M. Zia, R. Ellahi, Appl. Sci. 6, 324 (2016)
Mohsan Hassan, Ahmad Zeeshan, Aaqib Majeed, Rahmat Ellahi, J. Magn. & Magn. Mater. 443, 36 (2017)
Khalil Ur Rehman, Abid Ali Khan, M.Y. Malik, AIP Adv. 7, 065103 (2017)
M. Mustafa, T. Hayat, I. Pop, A. Aziz, Heat Transf. Asian Res. 40, 563 (2011)
T. Hayat, S.A. Shehzad, A. Alsaedi, M.S. Alhothuali, Chin. Phys. Lett. 29, 114704 (2012)
S. Nadeem, Rizwan Ul Haq, Noreen Sher Akbar, Z.H. Khan, Alex. Eng. J. 52, 577 (2013)
Krishendu Bhattacharyya, Front. Heat Mass Transf. (FHMT) 4, 023003 (2013)
Swati Mukhopadhyay, Chin. Phys. B 22, 074701 (2013)
Swati Mukhopadhyay, Prativa Ranjan De, Krishnendu Bhattacharyya, G.C. Layek, Ain Shams Eng. J. 4, 933 (2013)
M. Mustafa, Junaid Ahmad Khan, AIP Adv. 5, 077148 (2015)
K. Ramesh, M. Devakar, Ain Shams Eng. J. 6, 967 (2015)
I.L. Animasaun, J. Niger. Math. Soc. 34, 11 (2015)
Jia Qing, Muhammad Mubashir Bhatti, Munawwar Ali Abbas, Mohammad Mehdi Rashidi, Mohamed El-Sayed Ali, Entropy 18, 123 (2016)
Naramgari Sandeep, Olubode Kolade Koriko, Isaac Lare Animasaun, J. Mol. Liq. 221, 1197 (2016)
Khalil Ur Rehman, Aqeela Qaiser, M.Y. Malik, U. Ali, Chin. J. Phys. 55, 1605 (2017)
Maria Imtiaz, Tasawar Hayat, Ahmed Alsaedi, Adv. Powder Technol. 27, 2245 (2016)
Khalil Ur Rehman, Aneeqa Ashfaq Malik, M.Y. Malik, N. Sandeep, Noor Ul Saba, Res. Phys. 7, 2997 (2017)
Khalil Ur Rehman, M.Y. Malik, Abid Ali Khan, Iffat Zehra, Mostafa Zahri, M. Tahir, Eur. Phys. J. Plus 132, 550 (2017)
Khalil Ur Rehman, M.Y. Malik, T. Salahuddin, M. Naseer, AIP Adv. 6, 075112 (2016)
Khalil Ur Rehman, M.Y. Malik, T. Salahuddin, M. Naseer, AIP Adv. 9, 3669 (2017)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ur Rehman, K., Ul Saba, N., Malik, M.Y. et al. Nanoparticles individualities in both Newtonian and Casson fluid models by way of stratified media: A numerical analysis. Eur. Phys. J. E 41, 37 (2018). https://doi.org/10.1140/epje/i2018-11641-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epje/i2018-11641-8