A NUMERICAL STUDY OF ENTROPY GENERATION ON OLDROYD-B NANOFLUID FLOW PAST A RIGA PLATE

Year 2021, Volume: 7 Issue: 4, 845 - 866, 01.05.2021

Zachariah Mbugua Mburu Sabyasachi Mondal Precious Sibanda Ramprakash Sharma

https://doi.org/10.18186/thermal.930653

Cited By: 21

Abstract

This study investigates entropy generation due to the unsteady boundary layer flow of an Oldroyd-B nanofluid past a Riga plate. The velocity, temperature and concentration fields are obtained and the flow equations solved numerically using the spectral collocation method with overlapping grids. The local entropy generation distribution is obtained by solving the entropy generation equation numerically. Sensitivity and convergence analysis is performed to demonstrate the accuracy and convergence of the numerical method. The effect of principal flow parameters on entropy generation is investigated and it is established that entropy generation is directly proportional to the width of the Riga plate, Brinkman number, Prantl number and the Brownian motion parameter. It is further shown that the entropy generation is inversely proportional to the Eckert number and Deborah number in relaxation time. The range of parameter values were obtained from the reported literature. The current study may have applications of physics, including in the design of both cooling and heating devices.

Keywords

Entropy Generation, Overlapping Grids, Relaxation and Retardation Time, Oldroyd-B Nanofluid, Hyperbolic Time-Varying Boundary Conditions, Riga Plate

References

• [1] Gailitis AK, Lielausis OA. On the possibility of drag reduction of a flat plate in an electrolyte. Appl. Magnetohydrodyn. Trudy Inst. Fisiky AN Latvia SSR. 1961;12:143.
• [2] Avilov VV. Electric and magnetic fields for the Riga plate. FZR Interner Bericht. 1998.
• [3] Hayat T, Ullah I, Alsaedi A, Ahamad B. Simultaneous effects of nonlinear mixed convection and radiative flow due to Riga-plate with double stratification. Journal of Heat Transfer. 2018; 140 (10):102008. https://doi.org/10.1115/1.4039994.
• [4] Rana P, Shukla N. Entropy generation analysis for the non-similar analytical study of nanofluid flow and heat transfer under the influence of the aligned magnetic field. Alexandria engineering journal. 2018; 57(4),3299–3310. https://doi.org/10.1016/j.aej.2017.12.007.
• [5] Nayak MK, Shaw S, Makinde OD, Chamkha AJ. Investigation of partial slip and viscous dissipation effects on the radiative tangent hyperbolic nanofluid flow past a vertical permeable Riga plate with internal heating: Buongiorno model. Journal of Nanofluids. 2019; 8(1):51–62.
• [6] Shaw S, Sen SS, Nayak MK, Makinde OD. Boundary layer nonlinear convection flow of Sisko nanofluid with melting heat transfer over an inclined permeable electromagnetic sheet. Journal of Nanofluids. 2019; 8(5):917–928. https://doi.org/10.1166/jon.2019.1649.
• [7] Das M, Mahanta G, Shaw S, Parida SB. Unsteady MHD chemically reactive double-diffusive Casson fluid past a flat plate in a porous medium with heat and mass transfer. Heat Transfer—Asian Research. 2019; 48(5):1761–1777. https://doi.org/10.1002/htj.21456.
• [8] Nayak MK, Shaw S, Chamkha AJ. 3D MHD free convective stretched flow of a radiative nanofluid inspired by a variable magnetic field. Arabian Journal for Science and Engineering. 2019; 44(2): 1269–1282. https://doi.org/10.1007/s13369-018-3473-y.
• [9] Kundu B. Semi-analytical methods for heat and fluid flow between two parallel plates. Journal of Thermal Engineering. 2015; 1(3):175–181. https://doi.org/10.18186/jte.12495.
• [10] Hussein AK, Mustafa AW. Natural convection in a parabolic enclosure with an internal vertical heat source filled with Cu–water nanofluid. Heat Transfer—Asian Research. 2018; 47(2):320–336. https://doi.org/10.1002/htj.21305.
• [11] Kerme E, Orfi J. Exergy-based thermodynamic analysis of solar-driven organic Rankine cycle. Journal of Thermal Engineering. 2015; 1(5):192–202. https://doi.org/10.18186/jte.25809.
• [12] Gaikwad VP, Mohite SS, Shinde SS, Dherange ML. Enhancement in thermo-hydraulic performance of microchannel heat sink with secondary flows of leaf venation pattern. Journal of Thermal Engineering. 2020; 6(5):677–696.
• [13] Nashine P, Singh TS. Effect of dean number on the heat transfer characteristics of a helical coil tube with variable velocity and pressure inlet. Journal of Thermal Engineering. 2020;6(2):128–139. https://doi.org/10.18186/thermal.729149.
• [14] Rudolf E, Eckert G, Drake RM. Analysis of heat and mass transfer. 1987.
• [15] Gunn DJ. Transfer of heat or mass to particles in fixed and fluidized beds. International Journal of Heat and Mass Transfer. 1978; 21(4):467–476. https://doi.org/10.1016/0017-9310(78)90080-7.
• [16] Singh PK, Anoop KB, Sundararajan T, Das SK. Entropy generation due to flow and heat transfer in nanofluids. International Journal of Heat and Mass Transfer. 2010; 53(21-22):4757–4767. https://doi.org/10.1016/j.ijheatmasstransfer.2010.06.016.
• [17] Chen S, Tian Z. Entropy generation analysis of thermal micro-Couette flows in slip regime. International Journal of Thermal Sciences. 2010; 49(11):2211–2221.
• [18] Lucia U. Molecular machine as chemical-thermodynamic devices. Chemical Physics Letters. 2013; 556:242–244. https://doi.org/10.1016/j.cplett.2012.11.064.
• [19] Rehman AU, Mehmood R, Nadeem S. Entropy analysis of radioactive rotating nanofluid with thermal slip. Applied Thermal Engineering. 2017; 112:832–840.
• [20] Rashed AA, Kalidasan K, Kolsi L, Velkennedy R, Aydi A, Hussein AK, Malekshah EH. Mixed convection and entropy generation in a nanofluid filled cubical open cavity with a central isothermal block. International Journal of Mechanical Sciences. 2018; 135:362–375. https://doi.org/10.1016/j.ijmecsci.2017.11.033.
• [21] Ahmed SE, Hussein AK, Mansour MA, Raizah ZA, Zhang X. MHD mixed convection in trapezoidal enclosures filled with micropolar nanofluids. Nanoscience and Technology: An International Journal. 2018; 9(4).
• [22] Chand R, Rana GC, Hussein AK. Effect of suspended particles on the onset of thermal convection in a nanofluid layer for more realistic boundary conditions. International Journal of Fluid Mechanics Research. 2015; 42(5). 10.1615/InterJFluidMechRes.v42.i5.10.
• [23] Hussein AK, Hussain SH. Heat line visualization of natural convection heat transfer in an inclined wavy cavity filled with nanofluids and subjected to a discrete isoflux heating from its left sidewall. Alexandria Engineering Journal. 2016; 55(1):169–186.
• [24] Hussein AK, Bakier M, Hamida MB, Sivasankaran S. Magneto-hydrodynamic natural convection in an inclined t-shaped enclosure for different nanofluids and subjected to a uniform heat source. Alexandria Engineering Journal. 2016; 55(3):2157–2169.
• [25] Shaw S, Nayak MK, Makinde OD. The transient rotational flow of radiative nanofluids over an impermeable Riga plate with variable properties. In Defect and Diffusion Forum. 2018; volume 387, pages 640–652. https://doi.org/10.4028/www.scientific.net/DDF.387.640.
• [26] Esfahani JA, Akbarzadeh M, Rashidi S, Rosen MA, Ellahi R. Influences of wavy wall and nanoparticles on entropy generation overheat exchanger plat. International Journal of Heat and Mass Transfer. 2017; 109:1162–1171.
• [27] Bhatti MM, Rashidi MM, Pop I. Entropy generation with nonlinear heat and mass transfer on MHD boundary layer over a moving surface using SLM. Nonlinear Engineering. 2017; 6(1):43–52. https://doi.org/10.1515/nleng-2016-0021.
• [28] Shashikumar NS, Gireesha BJ, Mahanthesh B, Prasannakumara BC, Chamkha AJ. Entropy generation analysis of magneto-nanoliquids embedded with aluminum and titanium alloy nanoparticles in a microchannel with partial slips and convective conditions. International Journal of Numerical Methods for Heat & Fluid Flow. 2018.
• [29] Walvekar R, Singh A, Khalid M, Gupta TCSM, Yin W. Thermophysical properties of deep eutectic solvent-carbon nanotubes (descent) based nano lubricant. Journal of Thermal Engineering. 2018; 6(2):53–64. https://doi.org/10.18186/thermal.726059.
• [30] Almakki M, Mondal H, Sibanda P. Entropy generation in MHD flow of viscoelastic nanofluids with homogeneous-heterogeneous reaction, partial slip and nonlinear thermal radiation. Journal of Thermal Engineering. 2020;6(3):327–345. https://doi.org/10.18186/thermal.712452
• [31] Selimefendigil F. Experimental investigation of nano compressor oil effect on the cooling performance of a vapor-compression refrigeration system. Journal of Thermal Engineering. 2019; 5(1):100–104. https://doi.org/10.18186/thermal.513023.
• [32] Akinshilo A. Analytical decomposition solutions for heat transfer on straight fins with temperature-dependent thermal conductivity and internal heat generation. Journal of Thermal Engineering. 2019; 5(1):76–92. https://doi.org/10.18186/thermal.505489.
• [33] Ekiciler R, Aydeniz E, Arslan K. A CFD investigation of Al2O3/water flow in a duct having a backward-facing step. Journal of Thermal Engineering. 2019; 5(1):31–41.
• [34] Shaw S, Dogonchi AS, Nayak MK, Makinde OD. Impact of entropy generation and nonlinear thermal radiation on Darcy–Forchheimer flow of MnFe2O4-Casson/water nanofluid due to a rotating disk: Application to brain dynamics. Arabian Journal for Science and Engineering. 2020; pages 1–20.
• [35] Farooq U, Afridi M, Qasim M, Lu D. Transpiration and viscous dissipation effects on entropy generation in hybrid nanofluid flow over a nonlinear radially stretching disk. Entropy. 2018; 20 (9):668. https://doi.org/10.3390/e20090668.
• [36] Gupta S, Sandeep G. MHD three-dimensional flow of Oldroyd-B nanofluid over a bidirectional stretching sheet: DTM-Pad´e solution. Nonlinear Engineering. 2019;8(1):744–754. https://doi.org/10.1515/nleng-2018-0047.
• [37] Alshomrani AS, Irfan M, Salem A, Khan M. Chemically reactive flow and heat transfer of magnetite Oldroyd-B nanofluid subject to stratifications. Applied Nanoscience. 2018; 8(7):1743– 1754.
• [38] Gireesha BJ, Kumar KG, Prasannakumar BC. Scrutinization of chemical reaction effect on flow and mass transfer of Prandtl liquid over a Riga plate in the presence of solutal slip effect. International Journal of Chemical Reactor Engineering. 2018;16(8). https://doi.org/10.1515/ijcre-2018-0009.
• [39] Nayak MK, Shaw S, Makinde OD, Chamkha AJ. Effects of homogenous–heterogeneous reactions on radiative NaCl-CNP nanofluid flow past a convectively heated vertical Riga plate. Journal of Nanofluids. 2018; 7(4):657–667. https://doi.org/10.1166/jon.2018.1501.
• [40] Kasmani RM, Sivasankaran S, Bhuvaneswari M, Hussein AK. Analytical and numerical study on convection of nanofluid past a moving wedge with Soret and Dufour effects. International Journal of Numerical Methods for Heat & Fluid Flow. 2017.
• [41] Karakurt S, Gunes U. A new approach for evaluating the Rankine cycle through entropy generation. Journal of Thermal Engineering. 5(6):141–148.
• [42] Bayareh M. Numerical simulation and analysis of heat transfer for different geometries of corrugated tubes in a double pipe heat exchanger. Journal of Thermal Engineering. 2019; 5(4):293–301. https://doi.org/10.18186/thermal.581775.
• [43] Afridi M, Qasim M, Hussanan A. Second law analysis of dissipative flow over a Riga plate with nonlinear Rosseland thermal radiation and variable transport properties. Entropy. 2018; 20(8): 615. https://doi.org/10.3390/e20080615.
• [44] Seini IY, Makinde OD. Boundary layer flow near stagnation-points on a vertical surface with slip in the presence of a transverse magnetic field. International Journal of Numerical Methods for Heat & Fluid Flow. 2014; 24(3):643–653.
• [45] Bejan A. The thermodynamic design of heat and mass transfer processes and devices. International Journal of Heat and Fluid Flow. 1987;8(4):258–276. https://doi.org/10.1016/0142-727X(87)90062-2.
• [46] Hayat T, Khan M, Imtiaz M, Alsaedi A. Squeezing flow past a Riga plate with chemical reaction and convective conditions. Journal of Molecular Liquids. 2017;225:569–576. https://doi.org/10.1016/j.molliq.2016.11.089.
• [47] Raptis A. Radiation and free convection flow through a porous medium. International Communications in Heat and Mass Transfer. 1998; 25(2):289–295.
• [48] Waqas M, Ijaz M, Khan, Hayat T, Alsaedi A. Stratified flow of an Oldroyd-B nanoliquid with heat generation. Results in Physics. 2017; 7:2489–2496.
• [49] Bellman RE, Kalaba. Quasilinearization and nonlinear boundary value problems. 1965.
• [50] Trefethen LN. Spectral methods in MATLAB. 2000; volume 10. Siam.