Abstract
In this work, entropy generation impact in an axisymmetric flow of Carreau nanofluid due to a radially stretching sheet has been scrutinized along with non-linear thermal radiation. Both the shear-thickening and thinning of fundamental of Carreau nanofluid have been examined. Buongiorno model is adopted to capture the Brownian motion and thermophoresis influences by the presence of nanofluids. By picking appropriate transformations, constitutive equations of the present problem have been converted into the ordinary differential equation. The reduced system is solved by numerical technique bvp4c. The effect of non-dimensional pertinent parameters against the velocity, entropy, skin friction coefficient, temperature, Nusselt number, Bejan number, Sherwood number, and concentration are talked over and showed with the assistance of graphs and tables. Our obtained results show that entropy generation rises with increasing Brinkman number, magnetic field parameter, Eckert number, temperature difference, and diffusive variable while it declines for the Brownian diffusion parameter.
Similar content being viewed by others
References
Ahmed J, Mahmood T, Iqbal Z, Shahzad A, Ali R (2016) Axisymmetric flow and heat transfer over an unsteady stretching sheet in power-law fluid. J Mol Liq 221:386–393
Akbar NS, Raza M, Ellahi R (2016) Impulsion of induced magnetic field for Brownian motion of nanoparticles in peristalsis. Appl Nanosci 6:359–370
Alamri SZ, Ellahi R, Shehzad N, Zeeshan A (2019) Convective radiative plane Poiseuille flow of nanofluid through porous medium with slip: an application of Stefan blowing. J Mol Liq 273:292–304
Ariel PD (2001) Axisymmetric flow of a second grade fluid past a stretching sheet. Int J Eng Sci 39:529–553
Bejan A (1982) Entropy generation through heat fluid flow, 2nd edn. Wiley, New York
Bhattacharyya K (2012) Steady bounded layer flow and reactive mass transfer past an exponentially stretching surface in an exponentially moving free stream. J Egyp Math Soc 20:223–228
Butt AS, Ali A (2013) Effects of magnetic field on entropy generation in flow and heat transfer due to radially stretching surface. Chin Phys Lett 30:024701–24704
Butt AS, Munawar AA, Mehmood A (2012) Entropy generation in the Blasius flow under thermal radiation. Phys Scr 85:035008
Butt AS, Maqbool K, Imran SM, Ahmad B (2020) Entropy generation effects in MHD Casson nanofluid past a permeable stretching surface. Int J Exergy 31:150–171
Choi SUS, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles. ASME Int Mech Eng Congr Expos 66:99–105
Crane LJ (1970) Flow past a stretching plate. Z Angew Math Phys 21:645–647
Ellahi R, Hassan M, Zeeshan A, Khan AA (2016) The shape effects of nanoparticles suspended in HFE-7100 over wedge with entropy generation and mixed convection. Appl Nanosci 6:641–651
Ellahi R, Alamri SZ, Basit A, Majeed A (2018) Effects of MHD and slip-on heat transfer boundary layer flow over a moving plate based on specific entropy generation. J. Taib. Univ. Sci. 12:476–482
Ellahi R, Sait SM, Shehzad N, Mobin N (2019) Numerical simulation and mathematical modeling of electro-osmotic Couette-Poiseuille flow of MHD power-law nanofluid with entropy generation. Symmetry 11(8):1038. https://doi.org/10.3390/sym11081038
Ellahi R, Hussain F, Abbas SA, Sarafraz MM, Goodarzi M, Shadloo MS (2020) Study of two-phase Newtonian nanofluid flow hybrid with hafnium particles under the effects of slip. Invention 5(1):6. https://doi.org/10.3390/inventions5010006
Entropy Sites -A Guide Content selected by Frank L. Lambert
Hayat T, Sadia A, Mustafa M, Alsaedi A (2014) Boundary layer flow of Carreau fluid over a convectively heated stretching sheet. App Math Comput 246:12–22
Hsiao K-L (2016) Stagnation electrical MHD nanofluid mixed convection with slip boundary on a stretching sheet. Appl Therm Eng 98:850–861
Hsiao K-L (2017) To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau-Nanofluid with parameters control method. Energy 130:486–499
Hsiao K-L (2017) Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature. Int J Heat Mass Transf 112:983–990
Hsiao K-L (2017) Combined electrical MHD heat transfer thermal extrusion system using Maxwell fluid with radiative and viscous dissipation effects. Appl Therm Eng 112:1281–1288
Iqbal K, Ahmed J, Khan M, Ahmad L, Alghamdi M (2020) Magnetohydrodynamic thin film deposition of Carreau nanofluid over an unsteady stretching surface. Appl Phys A 126:105. https://doi.org/10.1007/s00339-019-3204-6
Karevan Z, Suykens JAK (2018) Transductive feature selection using clustering-based sample entropy for temperature prediction in weather forecasting. Entropy 20:1–23
Kefayati GHR, Tang H (2018) MHD thermosolutal natural convection and entropy generation of Carreau fluid in a heated enclosure with two inner circular cold cylinders, using LBM. Int J Heat Mass Transf 126:508–530
Khan MI, Khan SA, Hayat T, Qayyum S, Alsaedi A (2020) Entropy generation analysis in MHD flow of viscous fluid by a curved stretching surface with cubic autocatalysis chemical reaction. Eur Phys J Plus 135:1–17
Khan M, Hashim (2017) Axisymmetric flow and heat transfer of the carreau fluid due to a radially stretching sheet: numerical study. J Appl Mech Tech Phys 58:410–418
Khan MI, Qayyum S, Hayat T, Waqas M, Alsaedi A (2018) Entropy generation minimization and binary chemical reaction with Arrhenius activation energy in MHD radiative flow of nanomaterial. J Mol Liq 259:274–283
Khan M, Ahmed A, Ahmed J (2020) Transient flow of magnetized Maxwell nanofluid: Buongiorno model perspective of Cattaneo-Christov theory, Appl Math Mech Engl Ed https://doi.org/10.1007/s10483-020-2593-9
Munawar S, Mehmood A, Ali A (2012) Thermal analysis of the flow over an oscillatory stretching cylinder. Phys Scr 86:065401–65412
Nadeem S, Haq RU (2014) Effect of thermal radiation for magneto hydrodynamic boundary layer flow of a nanofluid past a stretching sheet with convective boundary conditions. J Comp Theoret Nanosci 11:1–9
Olajuwon BI (2011) Convective heat and mass transfer in a hydro magnetic Carreau fluid past a vertical porous plated in presence of thermal radiation and thermal diffusion. Therm Sci 15:241–252
Rajagopal KR, Na TY, Gupta AS (1984) Flow of a viscoelastic fluid over a stretching sheet. Rheol Acta 23:213–215
Rashidi MM, Ali M, Freidoonimehr N, Nazari F (2013) Parametric analysis and optimization of entropy generation in unsteady MHD flow over a stretching rotating disk using artificial neural network and particle swarm optimization algorithm. Energy 55:497–510
Rashidi S, Akar S, Bovand M, Ellahi R (2018) Volume of a fluid model to simulate the nanofluid flow and entropy generation in single slope solar still. Renew Energy 115:400–410
San JY, Lavan Z (1987) Entropy generation in convective heat transfer and isothermal mass transfer. J Heat Transf 109:647–52
Shahzad A, Ahmed J, Khan M (2016) On heat transfer analysis of axisymmetric flow of viscous fluid over a nonlinear radially stretching sheet. Alex Eng J 55:2423–2429
Sheremet MA, Grosan T, Pop I (2017) Natural convection and entropy generation in a square cavity with variable temperature side walls filled with a nanofluid. Buongiornos Math. Model Entropy 19:337
Shit GC, Haldar R, Mandal S (2017) Entropy generation on MHD flow and convective heat transfer in a porous medium of exponentially stretching surface saturated by nanofluids. Adv Powder Technol 28:1519–1530
Tamayol A, Hooman K, Bahrami M (2010) Thermal analysis of flow in a porous medium over a permeable stretching wall. Transp Porous Media 85:661–676
Troy WC, Overman EA II, Ermentrout GB, Keener JP (1987) Uniqueness of flow of a second-order fluid past a stretching sheet. Quart Appl Math 44:753–755
Yehia A, Abdel-Wahed MS (2020) Entropy analysis for an MHD nanofluid with a microrotation boundary layer over a moving permeable plate. Eur Phys J Plus 135:1–17
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Khan, M., Ahmed, J. & Rasheed, Z. Entropy generation analysis for axisymmetric flow of Carreau nanofluid over a radially stretching disk. Appl Nanosci 10, 5291–5303 (2020). https://doi.org/10.1007/s13204-020-01399-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13204-020-01399-7