Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-24T14:01:10.745Z Has data issue: false hasContentIssue false

MHD Pulsating Flow of Casson Nanofluid in a Vertical Porous Space with Thermal Radiation and Joule Heating

Published online by Cambridge University Press:  30 April 2020

Challa Kalyan Kumar*
Affiliation:
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632 014, India
Suripeddi Srinivas
Affiliation:
Department of Mathematics, School of Sciences and Languages, VIT-AP University, Amaravati-522 237, India
Anala Subramanyam Reddy
Affiliation:
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632 014, India
*
*Corresponding author ([email protected])
Get access

Abstract

In this investigation, the magnetohydrodynamic pulsatile flow of Casson nanofluid through a vertical channel embedded in porous medium with thermal radiation and heat generation/absorption has been analyzed using Buongiorno model. The influence of viscous and Joules dissipations are taken into account. The governing coupled partial differential equations are reduced to ordinary differential equations using perturbation scheme and then solved numerically by using Runge-Kutta fourth order technique along with shooting method. The impact of various emerging parameters on velocity, temperature, nanoparticles concentration, Nusselt number and Sherwood number distributions are analyzed in detail. Analysis indicates that the temperature distribution increases for a given increase in Brownian motion parameter and thermophoresis parameter, while it decreases with an increase in Hartmann number. Further, the nanoparticles concentration distribution decreases with an increase in the chemical reaction parameter and the Lewis number, while it increases for a given increase in the Brownian motion parameter.

Type
Research Article
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Choi, S. U. S., “Enhancing Thermal Conductivity of Fuids with Nanoparticles,” in Proceeding of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA (ASME, FED 231/MD), 66, pp. 99105 (1995).Google Scholar
Nield, D. A. and Kuznetsov, A. V., “Forced Convection in a Parallel-plate Channel Occupied by a Nanofluid or a Porous Medium Saturated by a Nanofluid,” International Journal of Heat and Mass Transfer, 70, pp. 430433 (2014).CrossRefGoogle Scholar
Hatami, M., Hatami, J. and Ganji, D. D., “Computer simulation of MHD Blood Conveying Gold Nanoparticles as a Third Grade Non-Newtonian Nanofluid in a Hollow Porous Vessel,” Computer methods and programs in biomedicine, 113, pp. 632641 (2014).CrossRefGoogle Scholar
Immaculate, D. L., Muthuraj, R., Shukla, A. K. and Srinivas, S., “MHD unsteady flow of a williamson nanofluid in a vertical porous space with oscillating wall temperature,” Frontiers in Heat and Mass Transfer, 7, pp. 12: 114 (2016).Google Scholar
Sheremet, M. A., Oztop, H. F. and Pop, I., “MHD Natural Convection in an Inclined Wavy Cavity with Corner Heater Filled with a Nanofluid,” Journal of Magnetism and Magnetic Materials, 416, pp. 3747 (2016).CrossRefGoogle Scholar
Srinivas, S., Vijayalakshmi, A. and Reddy, A. S., “Flow and Heat Transfer of Gold-blood Nanofluid in a Porous Channel with Moving/stationary Walls,” Journal of Mechanics, 33, pp. 395404 (2017).CrossRefGoogle Scholar
Uddin, M. J. and Rahman, M. M., “Finite Element Computational Procedure For Convective Flow of Nanofluids in an Annulus,” Thermal Science and Engineering Progress, 6, pp. 251267 (2018).CrossRefGoogle Scholar
Sheikholeslami, M. and Ganji, D. D., “Influence of electric field on Fe3O4- water nanofluid radiative and convective heat transfer in a permeable enclosure,” Journal of Molecular Liquids, 250, pp. 404412 (2018).CrossRefGoogle Scholar
Alamri, S. Z., Ellahi, R., Shehzad, N. and Zeeshan, A., “Convective Radiative Plane Poiseuille Flow of Nanofluid through Porous Medium with Slip: An Application of Stefan Blowing,” Journal of Molecular Liquids, 273, pp. 292304 (2019).CrossRefGoogle Scholar
SubramanyamReddy, A., Srinivas, S. and Jagadeshkumar, K., “Blood-gold/copper nanofluid Flow Between Expanding or Contracting Permeable Walls With Slip Effects,” Materials Today: Proceedings, 9, pp. 351360 (2019).Google Scholar
Buongiorno, J., “Convective Transport Nanofluids,” Journal of Heat Transfer, 128, pp. 240250 (2006).CrossRefGoogle Scholar
Ahmad, S. and Pop, I., “Mixed Convection Boundary Layer Flow From a Vertical Flat Plate Embedded in a Porous Medium Filled with Nanofluids,” International Communications in Heat and Mass Transfer, 37, pp. 987991 (2010).CrossRefGoogle Scholar
Kuznetsov, A. V. and Nield, D. A., “Double-diffusive Natural Convective Bounary-layer Flow of a Nanofluid Past a Vertical Plate,” International Journal of Thermal Sciences, 50, pp. 712717 (2011).CrossRefGoogle Scholar
Sheikholeslami, M., Ganji, D. D., Javed, M. Y. and Ellahi, R., “Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model,” Journal of Magnetism and Magnetic Materials, 374, pp. 3643 (2015).CrossRefGoogle Scholar
Das, S., Jana, R. N. and Makinde, O. D., “Magnetohydrodynamic Free Convective Flow of Nanofluids Past an Oscillating Porous Flat Plate in A Rotating System with Thermal Radiation and Hall Effects,” Journal of Mechanics, 32, pp.197210 (2016).CrossRefGoogle Scholar
Srinivas, S., Vijayalakshmi, A. and Reddy, A. S., “MHD Flow of a Nanofluid in an Expanding or Contracting Porous Pipe with Chemical Reaction and Heat Source/sink,” Propulsion and Power Research, 5, pp.134148 (2016).CrossRefGoogle Scholar
Zhao, G., Wang, Z. and Jian, Y., “Heat Transfer of the MHD Nanofluid in Porous Microtubes under the Electrokinetic Effects,” International Journal of Heat and Mass Transfer, 130, pp.821830 (2019).CrossRefGoogle Scholar
Casson, N., “A flow equation for pigment oil-suspension of the printing ink type, in Rheology of disperse systems,” Oxford, Pergamon (1959).Google Scholar
Imtiaz, M., Hayat, T.and Alsaedi, A., “Mixed Convection Flow of Casson Nanofluid over a Stretching Cylinder with Convective Boundary Conditions,” Advanced Powder Technology, 27, pp. 22452256 (2016).CrossRefGoogle Scholar
Oyelakin, I. S., Mondal, S. and Sibanda, P., “Unsteady Casson Nanofluid Flow Over a Stretching Sheet with Thermal Radiation, Convective and Slip Boundary Conditions,” Alexandria Engineering Journal, 55, pp.10251035 (2016).CrossRefGoogle Scholar
Kundu, P. K. and Sarkar, A., “Multifarious Slips Perception on Unsteady Casson Nanofluid Flow Impinging on a Stretching Cylinder in the Presence of Solar Radiation,” The European Physical Journal Plus, 132, 144 (2017).10.1140/epjp/i2017-11415-yCrossRefGoogle Scholar
Malik, M. Y., Naseer, M., Nadeem, S. and Rehman, A., “The Boundary Layer Flow of Casson Nanofluid over a Vertical Exponentially Stretching Cylinder,” Applied Nanoscience, 4, pp. 869873 (2014).10.1007/s13204-013-0267-0CrossRefGoogle Scholar
Nadeem, S., Mehmood, R. and Akbar, N. S., “Optimized Analytical Solution for Oblique Flow of a Casson-Nano fluid with Convective Boundary Conditions,” International Journal of Thermal Sciences, 78, pp. 90100 (2014).CrossRefGoogle Scholar
Ibrahim, W. and and Makinde, O. D., “Magnetohydrodynamic Stagnation Point Flow and Heat Transfer of Casson Nanofluid Past a Stretching Sheet with Slip and Convective Boundary Condition,” Journal of Aerospace Engineering, 29, 04015037 (2016).CrossRefGoogle Scholar
Pal, D., Roy, N. and Vajravelu, K., “Effects of Thermal Radiation and Ohmic Dissipation on MHD Casson Nanofluid Flow Over a vertical Non-linear Stretching Surface using Scaling Group Transformation,” International Journal of Mechanical Sciences, 114, pp. 257267 (2016).10.1016/j.ijmecsci.2016.06.002CrossRefGoogle Scholar
Ghadikolaei, S. S., Hosseinzadeh, Kh., Ganji, D. D. and Jafari, B., “Nonlinear Thermal Radiation Effect on Magneto Casson Nanofluid Flow with Joule heating Effect Over an Inclined Porous Stretching Sheet,” Case Studies in Thermal Engineering, 12, pp.176187 (2018).CrossRefGoogle Scholar
Usman, M., Soomro, F. A., Haq, R. U., Wang, W. and Defterli, O., “Thermal and Velocity Slip Effects on Casson Nanofluid Flow Over an Inclined Permeable Stretching Cylinder via Collocation Method,” International Journal of Heat and Mass Transfer, 122, pp.12551263 (2018).CrossRefGoogle Scholar
Wang, C. Y., “Pulsatile flow in a porous channel,” Journal of Applied Mechanics, 38, pp. 553555 (1971).CrossRefGoogle Scholar
Radhakrinshnamacharya, G. and Maiti, M. K., “Heat transfer to pulsatile flow in a porous channel,” International Journal of Heat and Mass Transfer, 20, pp.171173 (1977).CrossRefGoogle Scholar
Elmaboud, Y. A. and Mekheimer, Kh. S., “Unsteady Pulsatile Flow through a Vertical Constricted Annulus with Heat Transfer,” Z. Naturforsch., 67a, pp. 185194 (2012).CrossRefGoogle Scholar
Ziaei-Rad, M. and Elyasi, P., “Investigation of Laminar Pulsating Nanofluid Flow and Heat Transfer in a Rectangular Channel,” Journal of Nanostructures, 3, pp. 289301 (2013).Google Scholar
Adesanya, S. O., Falade, J. A. and Makinde, O. D., “Pulsating Flow Through Vertical Porous Channel with Viscous Dissipation Effect,” U.P.B. Sci. Bull., Series D, 77, pp.2536 (2015).Google Scholar
Vijayalakshmi, A. and Srinivas, S., “A Study on Hydromagnetic Pulsating Flow of a Nanofluid in a Porous Channel with Thermal Radiation,” Journal of Mechanics, 33, pp.213224 (2017).CrossRefGoogle Scholar
Vyas, P. and Srivastava, N., “Oscillatory Flow in a Vertical Channel Filled with Porous Medium with Radiation and Dissipation,” Walailak Journal of Science and Technology, 10, pp. 531552 (2013).Google Scholar
Selimefendigil, F. and Oztop, H. F., “Pulsating Nanofluids Jet Impingement Cooling of a Heated Horizontal Surface, ” International Journal of Heat and Mass Transfer, 69, pp.5465 (2014).CrossRefGoogle Scholar
Ponalagusamy, R. and Priyadharshini, S., “Numerical Modeling on Pulsatile Flow of Casson Nanofluid through an Inclined Artery with Stenosis and Tapering under the Influence of Magnetic Field and Periodic Body Acceleration,” Korea-Australia Rheology Journal, 29, pp.303316 (2017).CrossRefGoogle Scholar
Kumar, C. K. and Srinivas, S., “Simultaneous Effects of Thermal Radiation and Chemical Reaction on Hydromagnetic Pulsatile Flow of a Casson Fluid in a Porous Space,” Engineering Transactions, 65, pp. 461481 (2017).Google Scholar
VeeraKrishna, M., Reddy, G. S. and Chamkha, A. J., “Hall Effects on Unsteady MHD Oscillatory Free Convective Flow of Second Grade Fluid Through Porous Medium Between Two Vertical Plates,” Physics of Fluids, 30, 023106 (2018).CrossRefGoogle Scholar
Vijayalakshmi, A., Srinivas, S., BadetiSatyanarayana, , SubramanyamReddy, A., “Hydromagnetic Pulsating Flow of Nanofluid Between Two Parallel Walls with Porous Medium,” Materials Today: Proceedings, 9, pp. 306319 (2019).Google Scholar
Chen, CH., “Combined Effects of Joule Heating and Viscous Dissipation on Magnetohydrodynamic Flow Past a Permeable, Stretching Surface With Free Convection and Radiative Heat Transfer Journal of Heat Transfer, 132, 064503 (2010).10.1115/1.4000946CrossRefGoogle Scholar
Pal, D. and Talukdar, B., “Combined Effects of Joule Heating and Chemical Reaction on Unsteady Magnetohydrodynamic Mixed Convection of a Viscous Dissipating Fluid over a Vertical Plate in Porous Media with Thermal Radiation,” Mathematical and Computer Modelling, 54, pp.30163036 (2011).CrossRefGoogle Scholar
Shagaiy, Y., Aziz, Z. A., Ismail, Z. and Salah, F., “Effects of Thermal Radiation, Viscous and Joule Heating on Electrical MHD Nanofluid with Double Stratification,” Chinese Journal of Physics, 55, pp. 630651 (2017).CrossRefGoogle Scholar
Kumar, C. K. and Srinivas, S., “Influence of Joule Heating and Thermal Radiation on Unsteady Hydromagnetic Flow of Chemically Reacting Casson Fluid Over an Inclined Porous Stretching Sheet,” Special Topics & Reviews in Porous Media: An International Journal, 10, pp. 385400 (2019).CrossRefGoogle Scholar
Azim, M. A., Mamun, A. A. and Rahman, M. M., “Viscous Joule Heating MHD-Conjugate Heat Transfer for a Vertical Flat Plate in the Presence of Heat Generation,” International Communications in Heat and Mass Transfer, 37, pp. 666674 (2010).CrossRefGoogle Scholar
Su, X. and Zheng, L., “Hall Effect on MHD Flow and Heat Transfer of Nanofluids Over a Stretching Wedge in the Presence of Velocity Slip and Joule HeatingCentral European Journal of Physics, 11, pp. 16941703 (2013).Google Scholar
Hayat, T., Shaheen, U., Shafiq, A., Alsaedi, A. and Asghar, S., “Marangoni Mixed Convection Flow with Joule Heating and Nonlinear Radiation,” AIP Advances, 5, 077140 (2015).CrossRefGoogle Scholar
Rauf, A., Siddiq, M. K., Abbasi, F. M., Meraj, M. A., Ashraf, M. and Shehzad, S. A., “Influence of Convective Conditions on Three Dimensional Mixed Convective Hydromagnetic Boundary Layer Flow of Casson Nanofluid,” Journal of Magnetism and Magnetic Materials, 416, pp. 200207 (2016).CrossRefGoogle Scholar
Srinivas, S., Kumar, C. K. and Reddy, A. S., “Pulsating Flow of Casson Fluid in a Porous Channel with Thermal Radiation, Chemical Reaction and Applied Magnetic Field,” Nonlinear Analysis: Modelling and Control, 23, pp. 213233 (2018).CrossRefGoogle Scholar