Hybrid nanomaterial flow and heat transport in a stretchable convergent/divergent channel: a Darcy-Forchheimer model

doi:10.1007/s10483-020-2605-7

Abstract

Abstract: The flow behavior in non-parallel walls is an important factor of any physical model including cavity flow and canals, which is applicable for diverging/converging channel. The present communication explains that the flow of the hybrid nanomaterial subjected to the convergent/divergent channel has non-parallel walls. It is assumed that the hybrid nanomaterial movement is in the porous region. A Darcy-Forchheimer medium of porosity is considered to interpret the porosity features. A useful similarity function is adopted to get the strong ordinary coupled equations. Numerical solutions are achieved through the Runge-Kutta-Fehlberg (RKF) fourth-fifth order method, and they are validated with the existing results. Physical nature of the involving constraints is reported with the help of plots. It is explored that the velocity of divergent channel decreases, and convergent channel enhances for the higher solid volume faction. Further, the presence of inertia coefficient and porosity parameter amplifies the velocity at the wall.

Key words: hybrid nanoliquid, channel, Darcy-Forchheimer flow, stretching wall, numerical solution

2010 MSC Number:

76Bxx
76Sxx

G. K. RAMESH, S. A. SHEHZAD, I. TLILI. Hybrid nanomaterial flow and heat transport in a stretchable convergent/divergent channel: a Darcy-Forchheimer model. Applied Mathematics and Mechanics (English Edition), 2020, 41(5): 699-710.

TrendMD

References

[1] CHOI, S. U. S. Enhancing thermal conductivity of fluids with nanoparticles, developments and applications of non-Newtonian flows. The American Society of Mechanical Engineers, 66, 99-105 (1995)
[2] HSIAO, K. To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau-nanofluid with parameters control method. Energy, 130, 486-499 (2017)
[3] HSIAO, K. Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature. International Journal of Heat and Mass Transfer, 112, 983-990 (2017)
[4] TURKYILMAZOGLU, M. Buongiorno model in a nanofluid filled asymmetric channel fulfilling zero net particle flux at the walls. International Journal of Heat and Mass Transfer, 126, 974-979 (2018)
[5] ABBASI, F. M., GUL, M., and SHEHZAD, S. A. Hall effects on peristalsis of boron nitride-ethylene glycol nanofluid with temperature dependent thermal conductivity. Physica E: Low-Dimensional Systems and Nanostructures, 99, 275-284 (2018)
[6] IZADI, M., MEHRYAN, S. A. M., and SHEREMET, M. A. Natural convection of CuO-water micropolar nanofluids inside a porous enclosure using local thermal non-equilibrium condition. Journal of the Taiwan Institute of Chemical Engineers, 88, 89-103 (2018)
[7] ABBASI, F. M., SHANAKHAT, I., and SHEHZAD, S. A. Entropy generation analysis for peristalsis of nanofluid with temperature dependent viscosity and Hall effects. Journal of Magnetism and Magnetic Materials, 474, 434-441 (2019)
[8] SHAFEE, A., HAQ, R. U., SHEIKHOLESLAMI, M., HERKI, J. A. A., and NGUYEN, T. K. An entropy generation analysis for MHD water based Fe₃O₄ ferrofluid through a porous semi annulus cavity via CVFEM. International Communications in Heat and Mass Transfer, 108, 104295 (2019)
[9] LI, Z., ASADI, S., KARIMIPOUR, A., ABDOLLAHI, A., and TLILI, I. Experimental study of temperature and mass fraction effects on thermal conductivity and dynamic viscosity of SiO₂-oleic acid/liquid paraffin nanofluid. International Communications in Heat and Mass Transfer, 110, 104436 (2020)
[10] TURKYILMAZOGLU, M. Fully developed slip flow in a concentric annuli via single and dual phase nanofluids models. Computer Methods and Programs in Biomedicine, 179, 104997 (2019)
[11] NAGENDRAMMA, V., RAJU, C. S. K., MALLIKARJUN, B., SHEHZAD, S. A., and LEELARATHNAM, A. 3D Casson nanofluid over slendering sheet in a suspension of gyro-tactic microorganisms with Cattaneo-Christov heat flux. Applied Mathematics and Mechanics (English Edition}), 39(5), 623-638 (2018) https://doi.org/10.1007/s10483-018-2331-6
[12] WAQAS, H., IMRAN, M., KHAN, S. U., SHEHZAD, S. A., and MERAJ, M. A. Slip flow of Maxwell viscoelasticity-based micropolar nano particles with porous medium: a numerical study. Applied Mathematics and Mechanics (English Edition}), 40(9), 1255-1268 (2019) https://doi.org/10.1007/s10483-019-2518-9
[13] JANA, S., SALEHI-KHOJIN, A., and ZHONG, W. H. Enhancement of fluid thermal conductivity by the addition of single and hybrid nano-additives. Thermochimica Acta, 462, 45-55 (2007)
[14] SUNDAR, L. S., SINGH, M. K., and SOUSA, A. C. M. Enhanced heat transfer and friction factor of MWCNT-Fe₃O₄/water hybrid nanofluids. International Communications in Heat and Mass Transfer, 52, 73-83 (2014)
[15] DAS, P. K. A review based on the effect and mechanism of thermal conductivity of normal nanofluids and hybrid nanofluids. Journal of Molecular Liquids, 240, 420-446 (2017)
[16] AKILU, S., BAHETA, A. T., SAID, M. A. M., MINEA, A. A., and SHARMA, K. V. Properties of glycerol and ethylene glycol mixture based SiO₂-CuO/C hybrid nanofluid for enhanced solar energy transport. Solar Energy Materials and Solar Cells, 179, 118-128 (2018)
[17] AHMED, M. S. and ELSAID, A. M. Effect of hybrid and single nanofluids on the performance characteristics of chilled water air conditioning system. Applied Thermal Engineering, 163, 114398 (2019)
[18] DEVI, S. S. U. and DEVI, S. P. A. Heat transfer enhancement of Cu-Al₂O₃/water hybrid nanofluid flow over a stretching sheet. Journal of the Nigerian Mathematical Society, 36, 419-433 (2017)
[19] USMAN, M., HAMID, M., ZUBAIR, T., HAQ, R. U., and WANG, W. Cu-Al₂O₃/water hybrid nanofluid through a permeable surface in the presence of nonlinear radiation and variable thermal conductivity via LSM. International Journal of Heat and Mass Transfer, 126, 1347-1356 (2018)
[20] RAMESH, G. K. Three different hybrid nanomaterial performances on rotating disk: a non-Darcy model. Applied Nanoscience, 9, 179-187 (2019)
[21] SHEIKHOLESLAMI, M., MEHRYAN, S. A. M., SHAFEE, A., and SHEREMET, M. A. Variable magnetic forces impact on magnetizable hybrid nanofluid heat transfer through a circular cavity. Journal of Molecular Liquids, 277, 388-396 (2019)
[22] IZADI, M., MOHEBBI, R., DELOUEI, A. A., and SAJJADI, H. Natural convection of a magnetizable hybrid nanofluid inside a porous enclosure subjected to two variable magnetic fields. International Journal of Mechanical Sciences, 151, 154-169 (2019)
[23] RAMESH, G. K. Influence of shape factor on hybrid nanomaterial in a cross flow direction with viscous dissipation. Physica Scripta, 94, 105224 (2019)
[24] IZADI, M., OZTOP, H. F., SHEREMET, M. A., MEHRYAN, S. A. M., and ABU-HAMDEH, N. Coupled FHD-MHD free convection of a hybrid nanoliquid in an inversed T-shaped enclosure occupied by partitioned porous media. Numerical Heat Transfer, Part A: Applications, 76, 479-498 (2019)
[25] AMBREEN, T., SALEEM, A., ALI, H. M., SHEHZAD, S. A., and PARK, C. W. Performance analysis of hybrid nanofluid in a heat sink equipped with sharp and streamlined micro pin-fins. Powder Technology, 355, 552-563 (2019)
[26] MEHRYAN, S. A. M., SHEREMMET, M. A., SOLTANI, M., and IZADI, M. Natural convection of magnetic hybrid nanofluid inside a double-porous medium using two-equation energy model. Journal of Molecular Liquids, 277, 959-970 (2019)
[27] TURKYILMAZOGLU, M. Extending the traditional Jeffery-Hamel flow to stretchable convergent/divergent channels. Computers and Fluids, 100, 196-203 (2014)
[28] USMAN, M., HAQ, R. U., HAMID, M., and WANG, W. Least square study of heat transfer of water based Cu and Ag nanoparticles along a converging/diverging channel. Journal of Molecular Liquids, 249, 856-867 (2018)