Analysis of activation energy and microbial activity on couple stress nanofluid with heat generation

References

• Acharya, N., K. Das, and P. K. Kundu. 2016. “Framing the Effects of Solar Radiation on Magneto-Hydrodynamics Bioconvection Nanofluid Flow in Presence of Gyrotactic Microorganisms.” Journal of Molecular Liquids 222: 28–37. https://doi.org/10.1016/j.molliq.2016.07.023.
   Web of Science ®Google Scholar
• Ali, N., S. U. Khan, M. Sajid, and Z. Abbas. 2016. “MHD Flow and Heat Transfer of Couple Stress Fluid Over an Oscillatory Stretching Sheet with Heat Source/Sink in Porous Medium.” Alexandria Engineering Journal 55 (2): 915–924. https://doi.org/10.1016/j.aej.2016.02.018.
   Web of Science ®Google Scholar
• Alloui, Z., T. Nguyen, and E. Bilgen. 2007. “Numerical Investigation of Thermo-Bioconvection in a Suspension of Gravitactic Microorganisms.” International Journal of Heat and Mass Transfer 50 (7–8): 1435–1441. https://doi.org/10.1016/j.ijheatmasstransfer.2006.09.008.
   Web of Science ®Google Scholar
• Avramenko, A., and A. Kuznetsov. 2010. “The Onset of Bio-Thermal Convection in a Suspension of Gyrotactic Microorganisms in a Fluid Layer with an Inclined Temperature Gradient.” International Journal of Numerical Methods for Heat & Fluid Flow 20 (1): 111–129. https://doi.org/10.1108/09615531011008154.
   Web of Science ®Google Scholar
• Aziz, S., L. Kolsi, I. Ahmad, F. Al-Turjman, M. Omri, and S. U. Khan. 2022. “Thermal Stability and Bioconvection Investigation for Couple Stress Nanofluid due to a Three-Dimensional Accelerated Frame.” Waves in Random and Complex Media, 1–22. https://doi.org/10.1080/17455030.2022.2063989.
   Web of Science ®Google Scholar
• Bhatti, M. M., M. Marin, A. Zeeshan, R. Ellahi, and S. I. Abdelsalam. 2020. “Swimming of Motile Gyrotactic Microorganisms and Nanoparticles in Blood Flow Through Anisotropically Tapered Arteries.” Frontiers in Physics 8), https://doi.org/10.3389/fphy.2020.00095.
   Web of Science ®Google Scholar
• Buongiomo, J. 2006. “Convective Transport in Nanofluids.” Journal of Heat Transfer 128 (3): 240–250. https://doi.org/10.1115/1.2150834.
   Web of Science ®Google Scholar
• Devakar, M., D. Sreenivasu, and B. Shankar. 2014. “Analytical Solutions of Couple Stress Fluid Flows with Slip Boundary Conditions.” Alexandria Engineering Journal 53 (3): 723–730. https://doi.org/10.1016/j.aej.2014.06.005.
   Google Scholar
• Dhlamini, M., H. Mondal, P. Sibanda, and S. Motsa. 2021. “Numerical Analysis of Couple Stress Nanofluid in Temperature Dependent Viscosity and Thermal Conductivity.” International Journal of Applied and Computational Mathematics 7 (2), https://doi.org/10.1007/s40819-021-00983-x.
   Google Scholar
• El-Gamal, A. A. 2010. “Biological Importance of Marine Algae.” Saudi Pharmaceutical Journal 18 (1): 1–25. https://doi.org/10.1016/j.jsps.2009.12.001.
   PubMedGoogle Scholar
• Ellahi, R., A. Zeeshan, F. Hussain, and A. Asadollahi. 2019. “Peristaltic Blood Flow of Couple Stress Fluid Suspended with Nanoparticles Under the Influence of Chemical Reaction and Activation Energy.” Symmetry 11 (2): 276. https://doi.org/10.3390/sym11020276.
   Google Scholar
• Hayat, T., M. Mustafa, Z. Iqbal, and A. Alsaedi. 2013. “Stagnation-point Flow of Couple Stress Fluid with Melting Heat Transfer.” Applied Mathematics and Mechanics 34 (2): 167–176. https://doi.org/10.1007/s10483-013-1661-9.
   Google Scholar
• Kairi, R. R. 2011. “Viscosity and Dispersion Effects on Natural Convection from a Vertical Cone in a Nonnewtonian Fluid Saturated Porous Medium.” Thermal Science 15 (suppl. 2): 307–316. https://doi.org/10.2298/TSCI110614124K.
   Web of Science ®Google Scholar
• Kameswaran, P.K., P. Sibanda, and S. S. Motsa. 2013. “A Spectral Relaxation Method for Thermal Dispersion and Radiation Effects in a Nanofluid Flow.” Boundary Value Problems 242 (2013). https://doi.org/10.1186/1687-2770-2013-242.
   Google Scholar
• Khan, W. A. 2023. “Dynamics of Gyrotactic Microorganisms for Modified Eyring Powell Nanofluid Flow with Bioconvection and Nonlinear Radiation Aspects.” Waves in Random and Complex Media, 1–11. https://doi.org/10.1080/17455030.2023.2168086.
   Web of Science ®Google Scholar
• Khan, W., M. Ali, M. Shahzad, F. Sultan, M. Irfan, and Z. Asghar. 2020a. “A Note on Activation Energy and Magnetic Dipole Aspects for Cross Nanofluid Subjected to Cylindrical Surface.” Applied Nanoscience 10 (8): 3235–3244. https://doi.org/10.1007/s13204-019-01220-0.
   Web of Science ®Google Scholar
• Khan, M. I., T. Hayat, M. I. Khan, and A. Alsaedi. 2018. “Motion Through a non-Homogeneous Porous Medium: Hydrodynamic Permeability of a Membrane Composed of Cylindrical Particles.” The European Physical Journal Plus 133 (1): 1–20. https://doi.org/10.1140/epjp/i2018-11804-8.
   Web of Science ®Google Scholar
• Khan, M. I., T. A. Khan, S. Qayyum, T. Hayat, and M. I. Khan. 2018. “Activation Energy Impact in Nonlinear Radiative Stagnation Point Flow of Cross Nanofluid.” International Communications in Heat and Mass Transfer 91: 216–224. https://doi.org/10.1016/j.icheatmasstransfer.2017.11.001.
   Web of Science ®Google Scholar
• Khan, W., O. Makinde, and Z. Khan. 2014. “MHD Boundary Layer Flow of a Nanofluid Containing Gyrotactic Microorganisms Past a Vertical Plate with Navier Slip.” International Journal of Heat and Mass Transfer 74: 285–291. https://doi.org/10.1016/j.ijheatmasstransfer.2014.03.026.
   Web of Science ®Google Scholar
• Khan, N. A., F. Riaz, and F. Sultan. 2014. “Bound States of Spatially Dependent Mass Dirac Equation with the Eckart Potential Including Coulomb Tensor Interaction.” The European Physical Journal Plus 129 (1): 1–12. https://doi.org/10.1140/epjp/i2014-14001-y.
   Web of Science ®Google Scholar
• Khan, S. U., S. A. Shehzad, and N. Ali. 2018. “Darcy-Forchheimer MHD Couple Stress Liquid Flow by Oscillatory Stretched Sheet with Thermophoresis and Heat Genera-Tion/Absorption.” Journal of Porous Media 21 (12).
   Web of Science ®Google Scholar
• Khan, S. U., S. A. Shehzad, A. Rauf, and N. Ali. 2018. “Mixed Convection Flow of Couple Stress Nanofluid Over Oscillatory Stretching Sheet with Heat Absorption/Generation Effects.” Results in Physics 8: 1223–1231. https://doi.org/10.1016/j.rinp.2018.01.054.
   Web of Science ®Google Scholar
• Khan, W., H. Sun, M. Shahzad, M. Ali, F. Sultan, and M. Irfan. 2021. “Importance of Heat Generation in Chemically Reactive Flow Subjected to Convectively Heated Surface.” Indian Journal of Physics 95 (1): 89–97. https://doi.org/10.1007/s12648-019-01678-2.
   Web of Science ®Google Scholar
• Khan, S. U., H. Waqas, M. Bhatti, and M. Imran. 2020b. “Bioconvection in the Rheology of Magnetized Couple Stress Nanofluid Featuring Activation Energy and wus Slip.” Journal of Non-Equilibrium Thermodynamics 45 (1): 81–95. https://doi.org/10.1515/jnet-2019-0049.
   Web of Science ®Google Scholar
• Khan, S. U., H. Waqas, S. Shehzad, and M. Imran. 2019. “Theoretical Analysis of Tangent Hyperbolic Nanoparticles with Combined Electrical MHD, Activation Energy and WUS Slip Features: A Mathematical Model.” Physica Scripta 94 (12): 125211. https://doi.org/10.1088/1402-4896/ab399f.
   Web of Science ®Google Scholar
• Kuznetsov, A. 2006. “The Onset of Thermo-Bioconvection in a Shallow Fluid Saturated Porous Layer Heated from Below in a Suspension of Oxytactic Microorganisms.” European Journal of Mechanics - B/Fluids 25 (2): 223–233. https://doi.org/10.1016/j.euromechflu.2005.06.003.
   Web of Science ®Google Scholar
• Kuznetsov, A. 2010. “The Onset of Nanofluid Bioconvection in a Suspension Containing Both Nanoparticles and Gyrotactic Microorganisms.” International Communications in Heat and Mass Transfer 37 (10): 1421–1425. https://doi.org/10.1016/j.icheatmasstransfer.2010.08.015.
   Web of Science ®Google Scholar
• Kuznetsov, A. 2011. “Bio-thermal Convection Induced by two Different Species of Microorganisms.” International Communications in Heat and Mass Transfer 38 (5): 548–553. https://doi.org/10.1016/j.icheatmasstransfer.2011.02.006.
   Web of Science ®Google Scholar
• Kuznetsov, A. V. 2011. “Nanofluid Bioconvection in Water-Based Suspensions con-Taining Nanoparticles and Oxytactic Microorganisms: Oscillatory Instability.” Nanoscale Research Letters 6 (1): 1–13. https://doi.org/10.1186/1556-276X-6-100.
   Web of Science ®Google Scholar
• Mahdy, A. 2017. “Free Convection Flow Over a Vertical Flat Plate in Nanofluid Porous Media Containing Gyrotactic Microorganisms with Prescribed Density Motile Microorganisms Flux.” Science & Technology Asia(STA) 22 (4): 71–85.
   Google Scholar
• Mishra, S., H. Mondal, and P. K. Kundu. 2023. “Impact of Microbial Activity and Stratification Phenomena on Generating/Absorbing Sutterby Nanofluid Over a Darcy Porous Medium.” Journal of Applied and Computational Mechanics 9 (3): 804–819.
   Web of Science ®Google Scholar
• Mishra, S., D. Pal, H. Mondal, and P. Sibanda. 2016. “On Radiative-Magneto-Convective Heat and Mass Transfer of a Nanofluid Past a non-Linear Stretching Surface with Ohmic Heating and Convective Surface Boundary Condition.” Propulsion and Power Research 5 (4): 326–337. https://doi.org/10.1016/j.jppr.2016.11.007.
   Web of Science ®Google Scholar
• Mondal, H., S. Mishra, and U. K. Bera. 2015. “Nanofluids on MHD Mixed Convective Heat and Mass Transfer Over a Non-Linear Stretching Surface with Suction/Injection.” Journal of Nanofluids 4 (2): 223–229. https://doi.org/10.1166/jon.2015.1137.
   Google Scholar
• Motsa, S.. 2013. “A New Spectral Local Linearization Method for Nonlinear Boundary Layer Flow Problems.” Journal of Applied Mathematics 39: 102427. https://doi.org/10.1155/2013/423628.
   Web of Science ®Google Scholar
• Mutuku, W. N., and O. D. Makinde. 2014. “Hydromagnetic Bioconvection of Nanofluid Over a Permeable Vertical Plate due to Gyrotactic Microorganisms.” Computers & Fluids 95: 88–97. https://doi.org/10.1016/j.compfluid.2014.02.026.
   Web of Science ®Google Scholar
• Nasser, I., and H. Duwairi. 2016. “Thermal Dispersion Effects on Convection Heat Transfer in Porous Media with Viscous Dissipation.” International Journal of Heat and Technology 34 (2): 207–212. https://doi.org/10.18280/ijht.340208.
   Google Scholar
• Nield, D., and A. Kuznetsov. 2006. “The Onset of Bio-Thermal Convection in a Suspension of Gyrotactic Microorganisms in a Fluid Layer: Oscillatory Convection.” International Journal of Thermal Sciences 45 (10): 990–997. https://doi.org/10.1016/j.ijthermalsci.2006.01.007.
   Web of Science ®Google Scholar
• Nima, N. I., B. Alshuraiaan, and M. Ferdows. 2021. “Mixed Convection Flow Along Vertical Thin Needles Containing Gyrotactic Microorganism with Variable Heat, Mass and Motile Microorganism Flux, 29 July, PREPRINT (Version 1) .” Research Square. https://doi.org/10.21203/rs.3.rs-753328/v1.
   Google Scholar
• Rehman, F., M. I. Khan, M. Sadiq, and A. Malook. 2017. “MHD Flow of Carbon in Micropolar Nanofluid with Convective Heat Transfer in the Rotating Frame.” Journal of Molecular Liquids 231: 353–363. https://doi.org/10.1016/j.molliq.2017.02.022.
   Web of Science ®Google Scholar
• Rehman, K. U., M. Malik, M. Zahri, Q. M. Al-Mdallal, M. Jameel, and M. I. Khan. 2019. “Finite Element Technique for the Analysis of Buoyantly Convective Multiply Connected Domain as a Trapezium Enclosure with Heated Circular Obstacle.” Journal of Molecular Liquids 286: 110892. https://doi.org/10.1016/j.molliq.2019.110892.
   Web of Science ®Google Scholar
• Shah, F., M. I. Khan, T. Hayat, S. Momani, and M. I. Khan. 2020. “Cattaneochristov Heat Flux (cc Model) in Mixed Convective Stagnation Point Flow Towards a Riga Plate.” Computer Methods and Programs in Biomedicine 196: 105564. https://doi.org/10.1016/j.cmpb.2020.105564.
   PubMed Web of Science ®Google Scholar
• Sharma, B. K., R. Gandhi, T. Abbas, and M. M. Bhatti. 2023. “Magnetohydrodynamics Hemodynamics Hybrid Nanofluid Flow Through Inclined Stenotic Artery.” Applied Mathematics and Mechanics 44 (3): 459–476. https://doi.org/10.1007/s10483-023-2961-7.
   Google Scholar
• Sharma, B. K., C. Kumawat, and M. M. Bhatti. 2023. “Optimizing Energy Generation in Power-law Nanofluid Flow Through Curved Arteries with Gold Nanoparticles.” Numerical Heat Transfer, Part A: Applications. https://doi.org/10.1080/10407782.2023.2232123.
   Web of Science ®Google Scholar
• Shukla, R. K., and V. K. Dhir. 2008. “Effect of Brownian Motion on Thermal Conductivity of Nanofluids.” Journal of Heat Transfer 130 (4): 4. https://doi.org/10.1115/1.2818768.
   Web of Science ®Google Scholar
• Song, Y.-Q., A. Hamid, M. I. Khan, R. P. Gowda, R. N. Kumar, B. Prasannakumara, S. U. Khan, M. I. Khan, and M. Malik. 2021. “Solar Energy Aspects of Gyrotactic Mixed Bioconvection Flow of Nanofluid Past a Vertical Thin Moving Needle Influenced by Variable Prandtl Number.” Chaos, Solitons & Fractals 151: 111244. https://doi.org/10.1016/j.chaos.2021.111244.
   Web of Science ®Google Scholar
• Stokes, V. K., and V. K. Stokes. 1984. “Theories of Fluids with Microstructure.” Theories of Fluids with Microstructure: An Introduction, 34–80. https://doi.org/10.1007/978-3-642-82351-0_4.
   Google Scholar
• Tausif Sk, M., K. Das, and P. K. Kundu. 2016. “Multiple Slip Effects on Bioconvection of Nanofluid Flow Containing Gyrotactic Microorganisms and Nanoparticles.” Journal of Molecular Liquids 220: 518–526. https://doi.org/10.1016/j.molliq.2016.04.097.
   Web of Science ®Google Scholar
• Waqas, H., A. Wakif, Q. Al-Mdallal, M. Zaydan, U. Farooq, and M. Hussain. 2022. “Significance of Magnetic Field and Activation Energy on the Features of Stratified Mixed Radiative-Convective Couple-Stress Nanofluid Flows with Motile Microorganisms.” Alexandria Engineering Journal 61 (2): 1425–1436. https://doi.org/10.1016/j.aej.2021.06.047.
   Web of Science ®Google Scholar
• Zeeshan, A., N. Shehzad, and R. Ellahi. 2018. “Analysis of Activation Energy in Couette–Poiseuille Flow of Nanofluid in the Presence of Chemical Reaction and Convective Boundary Conditions.” Results in Physics 8: 502–512. https://doi.org/10.1016/j.rinp.2017.12.024.
   Web of Science ®Google Scholar