Abstract
Current research explores the influence of Cu–Al2O3 MHD hybrid nanofluid on heat conveyance and flow in a permeable channel with heat flux and viscous dissipation effects. As in hybrid nanofluid, \(\phi_{1}\) and \(\phi_{2}\) are used for volume fraction of Cu–Al2O3. We take \(\phi_{1} = 0.2\) and \(\phi_{2}\) of different ranges. A Newtonian fluid has been used as a base fluid. Appropriate mathematical modeling has been carried out, and the governing PDEs have been converted into ODEs by applying appropriate similarity transformations. Computations have been performed analytically by exercising homotopy analysis methodology. The influence of several novel parameters on flow fields has been discussed graphically. In addition, plots for skin friction and local Nusselt number for various values of the involved parameters have been drawn to analyze flow and conveyance of heat at the surface. It has been concluded that the fluid’s velocity increases, while the temperature decreases for increasing volume fraction. Temperature of the fluid has opposite behavior for cases of heat source/sink. It has also been found that viscous dissipation enhances the fluid temperature.
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Abbreviations
- T :
-
Fluid temperature (K)
- T w :
-
Surface temperature (K)
- T H :
-
Upper wall temperature (K)
- c p :
-
Specific heat (J kg k−1)
- C f :
-
Skin friction coefficient
- P:
-
Fluid pressure (Pa)
- Nu:
-
Local Nusselt number
- Pr:
-
Prandtl number
- Ec:
-
Eckert number
- Q o :
-
Heat flux parameter
- M :
-
Hartmann number
- u, v :
-
x, y velocity component (m s−1)
- Re:
-
Reynolds number
- B o :
-
Strength of magnetic field (T)
- \(\phi_{1} ,\phi_{2}\) :
-
Nanoparticles volume fraction
- \(\rho\) :
-
Fluid density (kg m−3)
- \(\psi\) :
-
Stream function (m2 s−1)
- \(\mu\) :
-
Dynamic viscosity (kg m−1 s−1)
- \(\upsilon\) :
-
Kinematic viscosity (m2 s−1)
- \(\sigma\) :
-
Electric conductivity (Sm−1)
- \(\kappa\) :
-
Thermal conductivity (W m−1 k−1)
- \(\gamma\) :
-
Dimensionless heat flux parameter
- hnf:
-
Hybrid nanofluid
- nf:
-
Nanofluid
- f:
-
Base fluid
- s1 :
-
First solid nanoparticle
- s2 :
-
Second nanoparticle
References
Choi SUS, Eastman JA. Enhancing thermal conductivity of fluids with nanoparticles, development and applications of non-Newtonian flows. Argonne National Lab. 1995; vol. 66, p. 99–105.
Maxwell JC. Treatise on electricity and magnetism. Oxford: Clarendon Press; 1873. p. 1.
Eastman JA, Choi SUS, Li S, Yu W, Thompson LJ. Anomalously increased effective thermal conductivity of ethylene glycol—based nanofluids containing copper nanoparticles. Appl Phys Lett. 2001;78:7180–720.
Ding Y, Alias H, Wen D, Williams RA. Heat transfer of aqueous suspensions of carbon nanotubes (CNT nanofluids). Int J Heat Mass Transf. 2006;49:240–50.
Chopkar M, Das PK, Manna I. Synthesis and characterization of a nanofluid for advanced heat transfer applications. Scr Mater. 2006;55:549–52.
Saidur R, Leong KY, Muhammad HA. A review on applications and challenges of nanofluids. Renew Sustain Ener Rev. 2011;15:1646–68.
Hussain ST, Khan ZH, Nadeem S. Water driven flow of carbon nanotubes in a rotating channel. J Mol Liq. 2016;214:136–44.
Ijaz S, Nadeem S. A balloon model examination with impulsion of Cu-nanoparticles as drug agent through stenosed tapered elastic artery. J Appl Fluid Mech. 2017;10:1773–83.
Ellahi R, Zeeshan A, Hussain F, Abbas T. Study of shiny film coating on multi-fluid flows of a rotating disk suspended with nano-sized silver and gold particles: a comparative analysis. Coatings. 2018;8:422.
Selimefendigil F, Oztop HF. Magnetic field effects on the forced convection of CuO–water nanofluid flow in a channel with circular cylinders and thermal predictions using ANFIS. Int J Mech Sci. 2018;146–147:9–24.
Rashidi S, Eskandarian M, Mahian O, Poncet S. Combination of nanofluid and inserts for heat transfer enhancement. J Therm Anal Calorim. 2019;135:437–60.
Ali A, Shah Z, Mumraiz S, Kumam P, Awais M. Entropy generation on MHD peristaltic flow of Cu–water nanofluid with slip conditions. Heat Trans Asian-Res. 2019;48:4301–19.
Siavashi M, Karimi K, Xiong Q, Doranehgard MH. Numerical analysis of mixed convection of two-phase non-Newtonian nanofluid flow inside a partially porous square enclosure with a rotating cylinder. J Therm Anal Calorim. 2019;137:267–87.
Khan AU, Saleem S, Nadeem S, Alderremy AA. Analysis of unsteady non-axisymmetric Homann stagnation point flow of nanofluid and possible existence of multiple solutions. Physica A. 2020. https://doi.org/10.1016/j.physa.2019.123920.
Saleem S, Qasim M, Alderremy A, Noreen S. Heat transfer enhancement using different shapes of Cu nanoparticles in the flow of water based nanofluid. Phys Scr. 2020;95:055209.
Nazari S, Ellahi R, Sarafraz MM, Safaei MR, Asghari A, Akbari OL. Numerical study on mixed convection of a non-Newtonian nanofluid with porous media in a two lid-driven square cavity. J Therm Anal Calorim. 2020;140:1121–45.
Selimefendigil F, Oztop HF. Magnetohydrodynamics forced convection of nanofluid in multi-layered U-shaped vented cavity with a porous region considering wall corrugation effects. Int Commun Heat Mass Transf. 2020;113:104–551.
Saffarian MR, Moravej M, Doranehgard MH. Heat transfer enhancement in a flat plate solar collector with different flow path shapes using nanofluid. Renew Energy. 2020;146:2316–29.
Suresh S, Venkitaraj KP, Selvakumar P, Chandrasekar M. Synthesis of Al2O3–Cu/water hybrid nanofluid using two step method and its thermo physical properties. Collides Surf A Physicochem Eng Asp. 2011;388:41–8.
Nawaz M, Nazir U, Saleem S, Alharbi SO. An enhancement of thermal performance of ethylene glycol by nano and hybrid nanoparticles. Physica A. 2020;551:124527.
Esfe MH, Arani AAA, Rezaie M, Yan WM, Karimipour A. Experimental conductivity and dynamic viscosity of Ag–MgO/water hybrid nanofluid. Int Commun Heat Mass Transf. 2017;82:97–102.
Hayat T, Nadeem S. Heat transfer enhancement with Ag–CuO/water hybrid nanofluid. Res Phys. 2017;7:2317–24.
Sajid MU, Ali HM. Thermal conductivity of hybrid nanofluids, a critical review. Int J Heat Mass Transf. 2018;126:211–34.
Ellahi R, Hussain F, Abbas SA, Sarafraz MM, Goodarzi M, Shadloo MS. Study of two-phase Newtonian nanofluid flow hybrid with Hafnium particles under the effects of slip. Inventions. 2020;5:6.
Ali A, Saleem S, Mumraiz S, Awais M, Saleem A, Khan Marwat DN. Numerical investigation on TiO2–Cu/H2O hybrid nanofluid with slip conditions in MHD peristaltic flow of Jeffery material. J Therm Anal Calorim. 2020. https://doi.org/10.1007/s10973-020-09648-1.
Mumraiz S, Ali A, Awais M, Shutaywi M. Shah Entropy generation in electrical magnetohydrodynamic flow of Al2O3–Cu/H2O hybrid nanofluid with non-uniform heat flux. J Therm Anal Calorim. 2020. https://doi.org/10.1007/s10973-020-09603-0.
Selimefendigill F, Oztop HF. Impact of a rotating cone on forced convection of Ag–MgO\water hybrid nanofluid in a 3D multiple vented T-shaped cavity considering magnetic field effects. J Therm Anal Calorim. 2020. https://doi.org/10.1007/s10973-020-09348-w.
Fersadou I, Kahalerras H, El Ganaoui M. MHD mixed convection and entropy generation of a nanofluid in a vertical porous channel. Comput Fluids. 2015;121:164–79.
Raza J, Rohni AM, Omar Z. MHD flow and heat transfer of Cu-water nanofluid in a semiporous channel with stretching walls. Int J Heat Mass Transf. 2016;103:336–40.
Falade JA, Ukaegbu JC, Egere AC, Adesanya SO. MHD oscillatory flow through a porous channel saturated with porous medium. Alex Eng J. 2017;56:147–52.
Irfan M, Khan M, Khan WA. Numerical analysis of unsteady 3D flow of Carreau nanofluid with variable thermal conductivity and heat source/sink. Res Phys. 2017;7:3315–24.
Khan SU, Shehzad SA, Rauf A, Ali N. Mixed convection flow of couple stress nanofluid over oscillatory stretching sheet with heat absorption/generation effects. Res Phys. 2018;8:1223–31.
Gholamalipour P, Siavashi M, Doranehgard MH. Eccentricity effects of heat source inside a porous annulus on the natural convection heat transfer and entropy generation of Cu–water nanofluid. Int J Heat Mass Transf. 2019;109:104367.
Njaneand WNM, Makinde OD. MHD nanofluid flow over a permeable vertical plate with convective heating. J Comput Theor Nanosci. 2014;11:667–75.
Elazem NYA, Ebaid A, Aly EH. Radiation effect of MHD on Cu–water and Ag–water nanofluids flow over stretching sheet, numerical study. J Appl Comput Math. 2015;4:1000235–43.
Loganthan P, Chan PN, Ganesan P. Radiation effects on an unsteady MHD natural convective flow of a nanofluid past a vertical plate. Therm Sci. 2015;19:1037–50.
Naveed M, Abbas Z, Sajid M. Hydromagnetic flow over an unsteady curved stretching surface. Eng Sci Technol Int J. 2016;19:841–5.
Farooq M, Khan MI, Waqas M, Hayat T, Alsaedi A. MHD stagnation point flow of viscoelastic nanofluid with non-linear radiation effects. J Mol Liq. 2016;221:1097–103.
Selimefendigil F, Oztop HF. Forced convection in a branching channel with partly elastic walls and inner L-shaped conductive obstacle under the influence of magnetic field. Int J Heat Mass Transf. 2019;144:118–598.
Chen CH. Effect of viscous dissipation on heat transfer in a non-Newtonian liquid film over an unsteady stretching sheet. J Non-New Fluid Mech. 2006;135:128–35.
Jaber KK. Effects of viscous dissipation and joule heating on MHD flow of a fluid with variable properties past a stretching vertical plate. Eur Sci J. 2014;10:383–93.
Saleem S, Nadeem S, Rashidi MM, Raju CSK. An optimal analysis of radiated nanomaterial flow with viscous dissipation and heat source. Micro Sys Technol. 2019;25:683–9.
Muhammad T, Hayat T, Shehzad SA, Alsaedi A. Viscous dissipation and joule heating effects in MHD 3D flow with heat and mass fluxes. Results Phys. 2018;8:365–71.
Chereches EI, Minea AA. Electrical conductivity of new nanoparticle enhanced fluids, an experimental study. Nanomaterials. 2019;9:1228.
Raza J, Rohni AM, Omar Z, Awais M. Rheology of the Cu–water nanofluid in porous channel with heat transfer: multiple solutions. Physica E. 2016;86:248–52.
Hamilton RL, Crosser OK. Thermal conductivity of heterogeneous two-component system. Ind Eng Chem Fundam. 1962;1:187–91.
Das S, Jana RN. Natural convective magneto-nanofluid flow and radiative heat transfer past a moving vertical plate. Alex Eng J. 2015;54:55–64.
Nazari S, Ellahi R, Sarfraz MM, Safaei RM, Asgari A, Akbari OA. Numerical study on mixed convection of a non-Newtonian nanofluid with porous media in a two lid-driven square cavity. J Therm Anal Calorim. 2019. https://doi.org/10.1007/s10973-019-08841-1.
Minea AA, Luciu RS. Investigations on electrical conductivity of stabilized water based Al2O3 nanofluids. Microfluid Nanofluid. 2012;13:977–85.
Nawaz M. Role of hybrid nanoparticles in the thermal performance of Sutterby fluid, the ethylene glycol. Physica A. 2020;537:122447–510.
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Ali, A., Noreen, A., Saleem, S. et al. Heat transfer analysis of Cu–Al2O3 hybrid nanofluid with heat flux and viscous dissipation. J Therm Anal Calorim 143, 2367–2377 (2021). https://doi.org/10.1007/s10973-020-09910-6
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DOI: https://doi.org/10.1007/s10973-020-09910-6