Velocity and Thermal Slips Impact on the Williamson Fluid Flow above a Stretching Sheet in the Existence of Radiation and Inclined Magnetic Field

Srinu Anagandula; K. Sreeram Reddy

doi:10.37934/cfdl.16.7.118135

Authors

Srinu Anagandula Department of Mathematics, University College of Science, Osmania University, Hyderabad-500007, Telangana, India
K. Sreeram Reddy Department of Mathematics, University College of Science, Osmania University, Hyderabad-500007, Telangana, India

DOI:

https://doi.org/10.37934/cfdl.16.7.118135

Keywords:

Thermal Slips, Williamson fluid, bvp4c, Radiation, inclined magnetic field

Abstract

Research has been conducted on the study of the velocity and thermal slips' impact on the Williamson fluid flow above a stretching sheet in the existence of an inclined magnetic field and Radiation. By applying the proper similarity conversions, the governing equations (PDEs) are reduced to a set of non-linear ODEs, and a numerical solution is produced by using MATLAB in-built solver bvp4c package. The impacts of the dimensionless characteristics on the flow patterns are analyzed visually, and the values of the friction, Nusselt, and mass transfer quantities are tabulated to exemplify how the various physical factors have an influence. We noted that the velocity profile enhances the rising estimations of velocity slip and the temperature profile increases with Q increase.

Author Biographies

Srinu Anagandula, Department of Mathematics, University College of Science, Osmania University, Hyderabad-500007, Telangana, India

daruvusrinu@gmail.com

K. Sreeram Reddy , Department of Mathematics, University College of Science, Osmania University, Hyderabad-500007, Telangana, India

dr_sreeram_reddy@yahoo.com

References

Choi, S. Enhancing thermal conductivity of fluids with nanoparticle in Siginer, D. A. &Wanf, H. P. (Eds) Developments and applications of non-Newtonian flows, ASME MD. FED.1995; 231:99-105.

Das, Sarit Kumar, Nandy Putra, Peter Thiesen, and Wilfried Roetzel. "Temperature dependence of thermal conductivity enhancement for nanofluids." J. Heat Transfer 125, no. 4 (2003): 567-574. https://doi.org/10.1115/1.1571080

Khan, W. A., and I. Pop. "Boundary-layer flow of a nanofluid past a stretching sheet." International journal of heat and mass transfer 53, no. 11-12 (2010): 2477-2483. https://doi.org/10.1016/j.ijheatmasstransfer.2010.01.032

Trisaksri, Visinee, and Somchai Wongwises. "Critical review of heat transfer characteristics of nanofluids." Renewable and sustainable energy reviews 11, no. 3 (2007): 512-523. https://doi.org/10.1016/j.rser.2005.01.010

Bachok, Norfifah, Anuar Ishak, and Ioan Pop. "Boundary-layer flow of nanofluids over a moving surface in a flowing fluid." International Journal of Thermal Sciences 49, no. 9 (2010): 1663-1668. https://doi.org/10.1016/j.ijthermalsci.2010.01.026

Rana, Puneet, and R. Bhargava. "Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study." Communications in Nonlinear Science and Numerical Simulation 17, no. 1 (2012): 212-226. https://doi.org/10.1016/j.cnsns.2011.05.009.

Hassani, M., M. Mohammad Tabar, H. Nemati, G. Domairry, and F. Noori. "An analytical solution for boundary layer flow of a nanofluid past a stretching sheet." International Journal of Thermal Sciences 50, no. 11 (2011): 2256-2263. https://doi.org/10.1016/j.ijthermalsci.2011.05.015.

Daniel, Yahaya Shagaiya, Zainal Abdul Aziz, Zuhaila Ismail, and Faisal Salah. "Effects of slip and convective conditions on MHD flow of nanofluid over a porous nonlinear stretching/shrinking sheet." Australian Journal of Mechanical Engineering 16, no. 3 (2018): 213-229. https://doi.org/10.1080/14484846.2017.1358844

Das, Kalidas, Pinaki Ranjan Duari, and Prabir Kumar Kundu. "Nanofluid flow over an unsteady stretching surface in presence of thermal radiation." Alexandria engineering journal 53, no. 3 (2014): 737-745. https://doi.org/10.1016/j.aej.2014.05.002

Ferdows, M., S. M. Chapal, and A. A. Afify. "Boundary layer flow and heat transfer of a nanofluid over a permeable unsteady stretching sheet with viscous dissipation." Journal of Engineering Thermophysics 23, no. 3 (2014): 216-228. https://doi.org/10.1134/S1810232814030059.

Dogonchi, A. S., K. Divsalar, and D. D. Ganji. "Flow and heat transfer of MHD nanofluid between parallel plates in the presence of thermal radiation." Computer Methods in Applied Mechanics and Engineering 310 (2016): 58-76. https://doi.org/10.1016/j.cma.2016.07.003.

Prasad, P. Durga, RVMSS Kiran Kumar, and S. V. K. Varma. "Heat and mass transfer analysis for the MHD flow of nanofluid with radiation absorption." Ain Shams Engineering Journal 9, no. 4 (2018): 801-813. https://doi.org/10.1016/j.asej.2016.04.016.

Ibrahim, Wubshet, and Dachasa Gamachu. "Nonlinear convection flow of Williamson nanofluid past a radially stretching surface." AIP Advances 9, no. 8 (2019). https://doi.org/10.1063/1.5113688.

Nadeem, S., S. T. Hussain, and Changhoon Lee. "Flow of a Williamson fluid over a stretching sheet." Brazilian journal of chemical engineering 30 (2013): 619-625. https://doi.org/10.1590/S0104-66322013000300019.

Srinivasulu, Thadakamalla, and B. Shankar Goud. "Effect of inclined magnetic field on flow, heat and mass transfer of Williamson nanofluid over a stretching sheet." Case Studies in Thermal Engineering 23 (2021): 100819. https://doi.org/10.1016/j.csite.2020.100819.

Shah, Zahir, Ebenezer Bonyah, Saeed Islam, Waris Khan, and Mohammad Ishaq. "Radiative MHD thin film flow of Williamson fluid over an unsteady permeable stretching sheet." Heliyon 4, no. 10 (2018). https://doi.org/10.1016/j.heliyon.2018.e00825.

Malik, M. Y., and T. Salahuddin. "Numerical solution of MHD stagnation point flow of Williamson fluid model over a stretching cylinder." International Journal of Nonlinear Sciences and Numerical Simulation 16, no. 3-4 (2015): 161-164. https://doi.org/10.1515/ijnsns-2014-0035.

Hayat, T., Anum Shafiq, and A. Alsaedi. "Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation." Alexandria Engineering Journal 55, no. 3 (2016): 2229-2240. https://doi.org/10.1016/j.aej.2016.06.004.

Shafiq, Anum, and T. N. Sindhu. "Statistical study of hydromagnetic boundary layer flow of Williamson fluid regarding a radiative surface." Results in physics 7 (2017): 3059-3067.https://doi.org/10.1016/j.rinp.2017.07.077

Bilal, M., M. Sagheer, and S. Hussain. "Numerical study of magnetohydrodynamics and thermal radiation on Williamson nanofluid flow over a stretching cylinder with variable thermal conductivity." Alexandria engineering journal 57, no. 4 (2018): 3281-3289. https://doi.org/10.1016/j.aej.2017.12.006.

M. Megahed, Ahmed. "Williamson fluid flow due to a nonlinearly stretching sheet with viscous dissipation and thermal radiation." Journal of the Egyptian Mathematical Society 27, no. 1 (2019): 12. https://doi.org/10.1186/s42787-019-0016-y

Khan, W. A., and I. Pop. "Boundary-layer flow of a nanofluid past a stretching sheet." International journal of heat and mass transfer 53, no. 11-12 (2010): 2477-2483. https://doi.org/10.1016/j.ijheatmasstransfer.2010.01.032

Reddy Gorla, Rama Subba, and Ibrahim Sidawi. "Free convection on a vertical stretching surface with suction and blowing." Applied Scientific Research 52 (1994): 247-257. https://doi.org/10.1007/BF00853952

Wang, C. Y. "Free convection on a vertical stretching surface." ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik 69, no. 11 (1989): 418-420. https://doi.org/10.1002/zamm.19890691115

Rana, S., M. Junaid, R. Mehmood, and M. M. Bhatti. "Transport of chemical species alongside magnetic pseudoplastic nanomaterial through a porous surface." Modern Physics Letters B (2023): 2350062. https://doi.org/10.1142/S0217984923500628.

Dadheech, Amit, Amit Parmar, Krishna Agrawal, Qasem Al-Mdallal, and Surbhi Sharma. "Second law analysis for MHD slip flow for Williamson fluid over a vertical plate with Cattaneo-Christov heat flux." Case Studies in Thermal Engineering 33 (2022): 101931. https://doi.org/10.1016/j.csite.2022.101931.

Salahuddin, T., Aaqib Javed, Mair Khan, M. Awais, and Harun Bangali. "The impact of Soret and Dufour on permeable flow analysis of Carreau fluid near thermally radiated cylinder." International Communications in Heat and Mass Transfer 138 (2022): 106378. https://doi.org/10.1016/j.icheatmasstransfer.2022.106378

Goud, B. Shankar, P. Pramod Kumar, Bala Siddulu Malga, and Y. Dharmendar Reddy. "FEM to study the radiation, Soret, Dufour numbers effect on heat and mass transfer of magneto-Casson fluid over a vertical permeable plate in the presence of viscous dissipation." Waves in Random and Complex Media (2022): 1-22. https://doi.org/10.1080/17455030.2022.2091809

Srisailam, Batcha, Katkoori Sreeram Reddy, Ganji Narender, and Bala Siddhulu Malga. "The Effect of Viscous Dissipation and Chemical Reaction on the Flow of MHD Nanofluid." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 107, no. 2 (2023): 150-170. https://doi.org/10.37934/arfmts.107.2.150170

Jaffrullah, Shaik, Wuriti Sridhar, and G. Raghavendra Ganesh. "MHD Radiative Casson Fluid Flow through Forchheimer Permeable Medium with Joule Heating Influence." CFD Letters 15, no. 8 (2023): 179-199. https://doi.org/10.37934/cfdl.15.8.179199.

Kota, Santhi Kumari Dharani, Venkata Subrahmanyam Sajja, and Perugu Mohana Kishore. "Transient MHD Flows Through an Exponentially Accelerated Isothermal Vertical Plate with Viscous Dissipation and Heat Source Embedded in a Porous Medium." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 106, no. 2 (2023): 153-166. https://doi.org/10.37934/arfmts.106.2.153166.

Bejawada, Shankar Goud, Yanala Dharmendar Reddy, Kanti Sandeep Kumar, and Epuri Ranjith Kumar. "Numerical solution of natural convection on a vertical stretching surface with suction and blowing." Int. J. Heat Tech 39, no. 5 (2021): 1469-1474. https://doi.org/10.18280/ijht.390508

Iyoko, Michael, and Bakai Ishola Olajuwon. "Study on Impact of Magnetic Dipole and Thermal Radiation on Flow/Heat Transfer of Jeffery Fluid over Stretching Sheet with Suction/Injection." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 104, no. 1 (2023): 65-83. https://doi.org/10.37934/arfmts.104.1.6583

Goud, B. Shankar, Pudhari Srilatha, D. Mahendar, Thadakamalla Srinivasulu, and Yanala Dharmendar Reddy. "Thermal radiation effect on thermostatically stratified MHD fluid flow through an accelerated vertical porous plate with viscous dissipation impact." Partial Differential Equations in Applied Mathematics 7 (2023): 100488. https://doi.org/10.1016/j.padiff.2023.100488

Usman, Abubakar, Siti Sabariah Abas, Nurul Aini Jaafar, Muhammad Hassan Muhammand, and Mustafa Mamat. "A Model on Free Convective Casson Fluid Flow Past a Permeable Vertical Plate with Gyrotactic Microorganisms." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 105, no. 2 (2023): 31-50. https://doi.org/10.37934/arfmts.105.2.3150