Mixed convective flow of nanofluid across exponential surface: A numerical assessment of the impact of Darcy-Forchheimer and nanoparticle aggregation

References

• S. U. S. Choi, Z. G. Zhang, W. Yu, F. E. Lockwood and E. A. Grulke, “Anomalous thermal conductivity enhancement in nanotube suspension,” Appl. Phys. Lett., vol. 79, no. 14, pp. 2252–2254, 2001. DOI: 10.1063/1.1408272.
   Web of Science ®Google Scholar
• S. U. S. Choi and J. A. Eastman, “Enhancing thermal conductivity of fluids with nanoparticles,” Argonne National Lab., Lemont, IL, 1995.
   Google Scholar
• R. J. Punith Gowda, I. E. Sarris, R. Naveen Kumar, R. Kumar and B. C. Prasannakumara, “A three-dimensional non-Newtonian magnetic fluid flow induced due to stretching of the flat surface with chemical reaction,” J. Heat Transfer, vol. 144, no. 11, p. 113602, 2022.
   Web of Science ®Google Scholar
• Y.-X. Li, et al., “Dynamics of aluminum oxide and copper hybrid nanofluid in nonlinear mixed Marangoni convective flow with entropy generation: applications to renewable energy,” Chin. J. Phys., vol. 73, pp. 275–287, 2021. DOI: 10.1016/j.cjph.2021.06.004.
   Web of Science ®Google Scholar
• J. K. Madhukesh, I. E. Sarris, B. C. Prasannakumara and A. Abdulrahman, “Investigation of thermal performance of ternary hybrid nanofluid flow in a permeable inclined cylinder/plate,” Energies, vol. 16, no. 6, p. 2630, 2023. DOI: 10.3390/en16062630.
   Web of Science ®Google Scholar
• K. Sarada, et al., “Impact of exponential form of internal heat generation on water-based ternary hybrid nanofluid flow by capitalizing non-Fourier heat flux model,” Case Stud. Therm. Eng., vol. 38, p. 102332, 2022. DOI: 10.1016/j.csite.2022.102332.
   Web of Science ®Google Scholar
• B. R. Sreenivasa, A. J. Faqeeh, A. Alsaiari, H. A. H. Alzahrani, and M. Y. Malik, “Numerical study of heat transfer mechanism in the flow of ferromagnetic hybrid nanofluid over a stretching cylinder,” Waves in Random and Complex Media, pp. 1–17, 2022. DOI: 10.1080/17455030.2022.2061084.
   Web of Science ®Google Scholar
• Z. Mahmood, S. M. Eldin, K. Rafique and U. Khan, “Numerical analysis of MHD tri-hybrid nanofluid over a nonlinear stretching/shrinking sheet with heat generation/absorption and slip conditions,” Alexandria Eng. J., vol. 76, pp. 799–819, 2023. DOI: 10.1016/j.aej.2023.06.081.
   Web of Science ®Google Scholar
• A. Mishra and G. Pathak, “A comparative analysis of MoS2-SiO2/H2O hybrid nanofluid and MoS2-SiO2-GO/H2O ternary hybrid nanofluid over an inclined cylinder with heat generation/absorption,” Numer. Heat Transf. Part A Appl., pp. 1–30, 2023. DOI: 10.1080/10407782.2023.2228483.
   Web of Science ®Google Scholar
• G. Revathi, I. L. Animasaun, V. S. Sajja, M. Jayachandra Babu, N. Boora and C. S. K. Raju, “Significance of adding titanium dioxide nanoparticles to an existing distilled water conveying aluminum oxide and zinc oxide nanoparticles: scrutinization of chemical reactive ternary-hybrid nanofluid due to bioconvection on a convectively heated surface,” Nonlinear Eng., vol. 11, no. 1, pp. 241–251, 2022. DOI: 10.1515/nleng-2022-0031.
   Google Scholar
• R. Giti, M. Firouzmandi, N. Zare Khafri and E. Ansarifard, “Influence of different concentrations of titanium dioxide and copper oxide nanoparticles on water sorption and solubility of heat‐cured PMMA denture base resin,” Clin. Exp. Dent. Res., vol. 8, no. 1, pp. 287–293, 2022. DOI: 10.1002/cre2.527.
   PubMed Web of Science ®Google Scholar
• B. Ali, S. Jubair, D. Fathima, A. Akhter, K. Rafique and Z. Mahmood, “MHD flow of nanofluid over moving slender needle with nanoparticles aggregation and viscous dissipation effects,” Sci. Prog., vol. 106, no. 2, p. 368504231176151, 2023. DOI: 10.1177/00368504231176151.
   PubMed Web of Science ®Google Scholar
• B. Ali, S. Jubair, L. A. Al-Essa, Z. Mahmood, A. Al-Bossly and F. S. Alduais, “Boundary layer and heat transfer analysis of mixed convective nanofluid flow capturing the aspects of nanoparticles over a needle,” Mater. Today Commun., vol. 35, p. 106253, 2023. DOI: 10.1016/j.mtcomm.2023.106253.
   Web of Science ®Google Scholar
• A. Alhadhrami, et al., “Impact of thermophoretic particle deposition on Glauert wall jet slip flow of nanofluid,” Case Stud. Therm. Eng., vol. 28, p. 101404, 2021. DOI: 10.1016/j.csite.2021.101404.
   Google Scholar
• M. D. Alsulami, M. C. Jayaprakash, J. K. Madhukesh, G. Sowmya and R. N. Kumar, “Bioconvection in radiative Glauert wall jet flow of nanofluid: A Buongiorno model,” Waves Random Complex Media, pp. 1–18, 2022. DOI: 10.1080/17455030.2022.2128224.
   Web of Science ®Google Scholar
• H. Xie, M. Fujii and X. Zhang, “Effect of interfacial nanolayer on the effective thermal conductivity of nanoparticle-fluid mixture,” Int. J. Heat Mass Transf., vol. 48, no. 14, pp. 2926–2932, 2005. DOI: 10.1016/j.ijheatmasstransfer.2004.10.040.
   Web of Science ®Google Scholar
• R. Prasher, P. E. Phelan and P. Bhattacharya, “Effect of aggregation kinetics on the thermal conductivity of nanoscale colloidal solutions (nanofluid),” Nano Lett., vol. 6, no. 7, pp. 1529–1534, 2006. DOI: 10.1021/nl060992s.
   PubMed Web of Science ®Google Scholar
• H. Chen, Y. Ding, Y. He and C. Tan, “Rheological behaviour of ethylene glycol based titania nanofluids,” Chem. Phys. Lett., vol. 444, no. 4–6, pp. 333–337, 2007. DOI: 10.1016/j.cplett.2007.07.046.
   Web of Science ®Google Scholar
• M. Sedighi and A. Mohebbi, “Investigation of nanoparticle aggregation effect on thermal properties of nanofluid by a combined equilibrium and non-equilibrium molecular dynamics simulation,” J. Mol. Liq., vol. 197, pp. 14–22, 2014. DOI: 10.1016/j.molliq.2014.04.019.
   Web of Science ®Google Scholar
• S. Zeinali Heris, M. A. Razbani, P. Estellé and O. Mahian, “Rheological behavior of zinc-oxide nanolubricants,” J. Dispers. Sci. Technol., vol. 36, no. 8, pp. 1073–1079, 2015. DOI: 10.1080/01932691.2014.945595.
   Web of Science ®Google Scholar
• M. Motevasel, A. R. S. Nazar and M. Jamialahmadi, “The effect of nanoparticles aggregation on the thermal conductivity of nanofluids at very low concentrations: Experimental and theoretical evaluations,” Heat Mass Transfer, vol. 54, no. 1, pp. 125–133, 2018. DOI: 10.1007/s00231-017-2116-2.
   Web of Science ®Google Scholar
• J. Mackolil and B. Mahanthesh, “Sensitivity analysis of Marangoni convection in TiO2–EG nanoliquid with nanoparticle aggregation and temperature-dependent surface tension,” J. Therm. Anal. Calorim., vol. 143, no. 3, pp. 2085–2098, 2021. DOI: 10.1007/s10973-020-09642-7.
   Web of Science ®Google Scholar
• L. T. Benos, E. G. Karvelas and I. E. Sarris, “Crucial effect of aggregations in CNT-water nanofluid magnetohydrodynamic natural convection,” Therm. Sci. Eng. Prog., vol. 11, pp. 263–271, 2019. DOI: 10.1016/j.tsep.2019.04.007.
   Google Scholar
• F. Wang, et al., “The effects of nanoparticle aggregation and radiation on the flow of nanofluid between the gap of a disk and cone,” Case Stud. Therm. Eng., vol. 33, p. 101930, 2022. DOI: 10.1016/j.csite.2022.101930.
   Web of Science ®Google Scholar
• M. D. Alsulami, A. Abdulrahman, R. N. Kumar, R. J. Punith Gowda and B. C. Prasannakumara, “Three-dimensional swirling flow of nanofluid with nanoparticle aggregation kinematics using modified Krieger–Dougherty and Maxwell–Bruggeman models: a finite element solution,” Mathematics, vol. 11, no. 9, p. 2081, 2023. DOI: 10.3390/math11092081.
   Web of Science ®Google Scholar
• B. M. Makhdoum, Z. Mahmood, U. Khan, B. M. Fadhl, I. Khan and S. M. Eldin, “Impact of suction with nanoparticles aggregation and joule heating on unsteady MHD stagnation point flow of nanofluids over horizontal cylinder,” Heliyon, vol. 9, no. 4, p. e15012, 2023. DOI: 10.1016/j.heliyon.2023.e15012.
   PubMed Web of Science ®Google Scholar
• K. A. M. Alharbi, Adnan, A. Nadeem, and S. M. Eldin, “Heat transport mechanism in glycerin-titania nanofluid over a permeable slanted surface by considering nanoparticles aggregation and Cattaneo Christov thermal flux,” Sci. Prog., vol. 106, no. 2, p. 00368504231180032, 2023. DOI: 10.1177/00368504231180032.
   Google Scholar
• J. K. Madhukesh, B. C. Prasannakumara, U. Khan, S. Madireddy, Z. Raizah and A. M. Galal, “Time-dependent stagnation point flow of water conveying titanium dioxide nanoparticle aggregation on rotating sphere object experiencing thermophoresis particle deposition effects,” Energies, vol. 15, no. 12, pp. 4424, 2022. DOI: 10.3390/en15124424.
   Web of Science ®Google Scholar
• K. A. M., Alharbi, M. Z. Bani-Fwaz, S. M. Eldin, M. F. Yassen, “Numerical heat performance of TiO2/Glycerin under nanoparticles aggregation and nonlinear radiative heat flux in dilating/squeezing channel,” Case Stud. Therm. Eng., vol. 41, p. 102568, 2023. DOI: 10.1016/j.csite.2022.102568.
   Web of Science ®Google Scholar
• T. Altan, S.-I. Oh and G. Gegel, “Metal forming fundamentals and applications,” Am. Soc. Met, vol. 1983, p. 353, 1983.
   Google Scholar
• W. Michaeli and C. Hopmann, Extrusion Dies for Plastics and Rubber. Munich, Germany: Hanser Publishers, 2016.
   Google Scholar
• M. V. Karwe and Y. Jaluria, “Numerical simulation of thermal transport associated with a continuously moving flat sheet in materials processing,” ASME. J. Heat Transfer., vol. 113, no. 3, pp. 612–619, 1991. DOI: 10.1115/1.2910609.
   Google Scholar
• B. C. Sakiadis, “Boundary‐layer behavior on continuous solid surfaces: i. Boundary‐layer equations for two‐dimensional and axisymmetric flow,” AIChE J., vol. 7, no. 1, pp. 26–28, 1961. DOI: 10.1002/aic.690070108.
   Web of Science ®Google Scholar
• L. J. Crane, “Flow past a stretching plate,” J. Appl. Math. Phys., vol. 21, no. 4, pp. 645–647, Jul. 1970. DOI: 10.1007/BF01587695.
   Web of Science ®Google Scholar
• E. Magyari and B. Keller, “Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface,” J. Phys. D: appl. Phys., vol. 32, no. 5, pp. 577–585, 1999. DOI: 10.1088/0022-3727/32/5/012.
   Web of Science ®Google Scholar
• E. M. A. Elbashbeshy, “Heat transfer over an exponentially stretching continuous surface with suction,” Arch. Mech., vol. 53, no. 6, pp. 643–651, 2001.
   Google Scholar
• N. S. Anuar, N. Bachok, N. M. Arifin and H. Rosali, “Effect of suction/injection on stagnation point flow of hybrid nanofluid over an exponentially shrinking sheet with stability analysis,” CFD Lett., vol. 11, no. 12, pp. 21–33, 2019.
   Google Scholar
• I. Waini, I. Pop, S. A. Bakar, and A. Ishak, “Stagnation point flow toward an exponentially shrinking sheet in a hybrid nanofluid,” Int. J. Numer. Methods Heat Fluid Flow, 2021.
   Google Scholar
• A. Islam, Z. Mahmood and U. Khan, “Double-diffusive stagnation point flow over a vertical surface with thermal radiation: assisting and opposing flows,” Sci. Prog., vol. 106, no. 1, pp. 368504221149798, 2023. DOI: 10.1177/00368504221149798.
   PubMed Web of Science ®Google Scholar
• S. V. Subhashini, R. Sumathi and E. Momoniat, “Dual solutions of a mixed convection flow near the stagnation point region over an exponentially stretching/shrinking sheet in nanofluids,” Meccanica, vol. 49, no. 10, pp. 2467–2478, 2014. DOI: 10.1007/s11012-014-0016-9.
   Web of Science ®Google Scholar
• Z. Mahmood and U. Khan, “Mathematical investigation of nanoparticle aggregation and heat transfer on mixed convective stagnation point flow of nanofluid over extendable vertical Riga plate,” Phys. Scr., vol. 98, no. 7, p. 075209, 2023. DOI: 10.1088/1402-4896/acd91f.
   Web of Science ®Google Scholar
• J. K. Madhukesh, et al., “Analysis of buoyancy assisting and opposing flows of colloidal mixture of titanium oxide, silver, and aluminium oxide nanoparticles with water due to exponentially stretchable surface,” Arab. J. Chem., vol. 16, no. 4, p. 104550, 2023. DOI: 10.1016/j.arabjc.2023.104550.
   Web of Science ®Google Scholar
• M. M. AlBaidani, N. K. Mishra, M. M. Alam, S. M. Eldin, A. A. AL-Zahrani, A. Akgul, “Numerical analysis of magneto-radiated annular fin natural-convective heat transfer performance using advanced ternary nanofluid considering shape factors with heating source,” Case Stud. Therm. Eng., vol. 44, p. 102825, 2023. DOI: 10.1016/j.csite.2023.102825.
   Web of Science ®Google Scholar
• H. A. Otman, Z. Mahmood, U. Khan, S. M. Eldin, B. M. Fadhl and B. M. Makhdoum, “Mathematical analysis of mixed convective stagnation point flow over extendable porous riga plate with aggregation and joule heating effects,” Heliyon, vol. 9, no. 6, p. e17538, 2023. DOI: 10.1016/j.heliyon.2023.e17538.
   PubMed Web of Science ®Google Scholar
• B. Ali, N. K. Mishra, K. Rafique, S. Jubair, Z. Mahmood and S. M. Eldin, “Mixed convective flow of hybrid nanofluid over a heated stretching disk with zero-mass flux using the modified Buongiorno model,” Alexandria Eng. J, vol. 72, pp. 83–96, 2023. DOI: 10.1016/j.aej.2023.03.078.
   Web of Science ®Google Scholar
• S. Hansda and S. K. Pandit, “On the analysis of thermosolutal mixed convection with thermophoresis effects in a wavy porous cabinet,” Numer. Heat Transf. Part A Appl., pp. 1–24, 2023. DOI: 10.1080/10407782.2023.2227398.
   Web of Science ®Google Scholar
• D. Pal, G. Mandal and K. Vajravalu, “Mixed convection stagnation-point flow of nanofluids over a stretching/shrinking sheet in a porous medium with internal heat generation/absorption,” Commun. Numer. Anal., vol. 2015, no. 1, pp. 30–50, 2015. DOI: 10.5899/2015/cna-00228.
   Google Scholar
• D. Pal and G. Mandal, “Thermal radiation and MHD effects on boundary layer flow of micropolar nanofluid past a stretching sheet with non-uniform heat source/sink,” Int. J. Mech. Sci., vol. 126, pp. 308–318, 2017. DOI: 10.1016/j.ijmecsci.2016.12.023.
   Web of Science ®Google Scholar
• M. Waqas, et al., “Radiation effect on MHD three-dimensional stagnation-point flow comprising water-based graphene oxide nanofluid induced by a nonuniform heat source/sink over a horizontal plane surface,” Int. J. Mod. Phys. B, vol. 37, no. 15, p. 2350146, 2022. DOI: 10.1142/S0217979223501461.
   Web of Science ®Google Scholar
• A. M. Jyothi, R. N. Kumar, R. J. P. Gowda and B. C. Prasannakumara, “Significance of Stefan blowing effect on flow and heat transfer of Casson nanofluid over a moving thin needle,” Commun. Theor. Phys., vol. 73, no. 9, p. 095005, 2021. DOI: 10.1088/1572-9494/ac0a65.
   Web of Science ®Google Scholar
• K. Das, B. Sutradhar and P. K. Kundu, “Impact of nonlinear radiation on an unsteady magneto hybrid nanofluid flow over an upward/downward rotating disk,” Numer. Heat Transf. Part A Appl., pp. 1–18, 2023. DOI: 10.1080/10407782.2023.2228477.
   Web of Science ®Google Scholar
• Y. Yu, et al., “Exploration of 3D stagnation-point flow induced by nanofluid through a horizontal plane surface saturated in a porous medium with generalized slip effects,” Ain Shams Eng. J., vol. 14, no. 2, p. 101873, 2023. DOI: 10.1016/j.asej.2022.101873.
   Web of Science ®Google Scholar
• A. J. Chamkha, “MHD-free convection from a vertical plate embedded in a thermally stratified porous medium with Hall effects,” Appl. Math. Model, vol. 21, no. 10, pp. 603–609, 1997. DOI: 10.1016/S0307-904X(97)00084-X.
   Web of Science ®Google Scholar
• M. D. Alsulami, R. Naveen Kumar, R. J. Punith Gowda and B. C. Prasannakumara, “Analysis of heat transfer using Local thermal non‐equilibrium conditions for a non‐Newtonian fluid flow containing Ti6Al4V and AA7075 nanoparticles in a porous media,” ZAMM‐Journal Appl. Math. Mech. für Angew. Math. und Mech., vol: 103, p. e202100360, 2022.
   Web of Science ®Google Scholar
• F. Wang, et al., “Heat and mass transfer of Ag − H2O nano-thin film flowing over a porous medium: A modified Buongiorno’s model,” Chin. J. Phys., vol. 84, pp. 330-342, 2023.
   Web of Science ®Google Scholar
• A. Jamaludin, R. Nazar, K. Naganthran and I. Pop, “Mixed convection hybrid nanofluid flow over an exponentially accelerating surface in a porous media,” Neural Comput. Appl., vol. 33, no. 22, pp. 15719–15729, 2021. DOI: 10.1007/s00521-021-06191-4.
   Web of Science ®Google Scholar
• M. Asadullah, U. Khan, N. Ahmed, S. T. Mohyud-Din, “Analytical and numerical investigation of thermal radiation effects on flow of viscous incompressible fluid with stretchable convergent/divergent channels,” J. Mol. Liq., vol. 224, pp. 768–775, 2016. DOI: 10.1016/j.molliq.2016.10.073.
   Web of Science ®Google Scholar
• Z. Mahmood and U. Khan, “Nanoparticles aggregation effects on unsteady stagnation point flow of hydrogen oxide-based nanofluids,” Eur. Phys. J. Plus, vol. 137, no. 6, pp. 1–28, 2022. DOI: 10.1140/epjp/s13360-022-02917-y.
   PubMed Web of Science ®Google Scholar
• Z. Mahmood, S. E. Alhazmi, A. Alhowaity, R. Marzouki, N. Al-Ansari and U. Khan, “MHD mixed convective stagnation point flow of nanofluid past a permeable stretching sheet with nanoparticles aggregation and thermal stratification,” Sci. Rep., vol. 12, no. 1, p. 16020, 2022. DOI: 10.1038/s41598-022-20074-1.
   PubMed Web of Science ®Google Scholar
• J. Chen, C. Zhao and B. Wang, “Effect of nanoparticle aggregation on the thermal radiation properties of nanofluids: An experimental and theoretical study,” Int. J. Heat Mass Transf., vol. 154, pp. 119690, 2020. DOI: 10.1016/j.ijheatmasstransfer.2020.119690.
   Web of Science ®Google Scholar
• I. Waini, A. Ishak and I. Pop, “Mixed convection flow over an exponentially stretching/shrinking vertical surface in a hybrid nanofluid,” Alexandria Eng. J, vol. 59, no. 3, pp. 1881–1891, 2020. DOI: 10.1016/j.aej.2020.05.030.
   Web of Science ®Google Scholar