## THERMAL SCIENCE

International Scientific Journal

### THERMAL FLOW OF MICROPOLAR GOLD-BLOOD NANOFLUID FLOWING THROUGH A PERMEABLE CHANNEL WITH IMPACT OF GYAROTACTIC MICROORGANISMS

**ABSTRACT**

Presently, the scientists across the world are carrying out the theoretical as well as the experimental examinations for describing the importance of nanofluid in the heat transfer phenomena. Such fluids can be obtained by suspending nanoparticles in base fluid. Experimentally, it has proved that the thermal characteristics of nanofluid are much better and appealing as compared to traditional fluid. The current work investigates the heat transfer for flow of blood that comprises of micropolar gold nanoparticles. A microorganism creation also affects the concentration of nanoparticles inside the channel. Suitable transformation has used to change the mathematical model to dimensionless form and then have solved by employing the homotopy analysis method. In this investigation it has revealed that, fluid's motion decays with growth in Reynolds, Darcy numbers and volumetric fraction. Thermal characteristics support by augmentation in volumetric fraction, while oppose by Prandtl number. Density of microorganism weakens by growth in Peclet and bioconvection Lewis numbers.

**KEYWORDS**

PAPER SUBMITTED: 2022-06-06

PAPER REVISED: 2022-06-24

PAPER ACCEPTED: 2022-06-27

PUBLISHED ONLINE: 2023-04-08

- Choi, S. U. S., Eastman, J. A., Enhancing Thermal Conductivity of Fluids with Nanoparticles, Proceedings, ASME International Mechanical Engineering Congress and Exposition, San Francisco, Cal., USA, 1995
- Sheikholeslami, M., Ganji, D. D., Heat Transfer of Cu-Water Nanofluid-Flow between Parallel Plates, Powder Technology, 235 (2013), Feb., pp. 873-879
- Sheikholeslami, M., Ganji, D. D., Nanofluid-Flow and Heat Transfer between Parallel Plates Considering Brownian Motion Using DTM, Computer Methods in Applied Mechanics and Engineering, 283 (2015), Jan., pp. 651-663
- Rashid, U., et al., The Shape Effect of Gold Nanoparticles on Squeezing Nanofluid-Flow and Heat Transfer between Parallel Plates, Mathematical Problems in Engineering, 2020 (2020), ID9584854
- Shah, Z., et al., Micropolar Gold Blood Nanofluid-Flow and Radiative Heat Transfer between Permeable Channels, Computer Methods and Programs in Biomedicine, 186 (2020), 105197
- Srinivas, S., et al., Flow and Heat Transfer of Gold-Blood Nanofluid in a Porous Channel with Moving/Stationary Walls, Journal of Mechanics, 33 (2017), 3, pp. 395-404
- Eringen, A. C., Theory of Micropolar Fluids, Journal of Mathematics and Mechanics, 16 (1966), 1, pp. 1-18
- Srinivasacharya, D., et al., Unsteady Stokes Flow of Micropolar Fluid between Two Parallel Porous Plates, International Journal of Engineering Science, 39 (2001), 14, pp. 1557-1563
- Fakour, M., et al., Analytical Study of Micropolar Fluid-Flow and Heat Transfer in a Channel with Permeable Walls, Journal of Molecular Liquids, 204 (2015), Apr., pp. 198-204
- Abbas, N., et al., Theoretical Study of Micropolar Hybrid Nanofluid over Riga Channel with Slip Conditions, Physica A: Statistical Mechanics and Its Applications, 551 (2020), 124083
- Baharifard, F., et al., Novel Solution for Heat and Mass Transfer of a MHD Micropolar Fluid-Flow on a Moving Plate with Suction and Injection, Engineering with Computers, 38 (2020), 1, pp.13-30
- Terrill, R. M., Laminar Flow in a Uniformly Porous Channel with Large Injection, Aeronautical Quarterly, 16 (1965), 4, pp. 323-332
- Bharali, A., Borkakati, A. K., The Effect of Hall Currents on MHD Flow and Heat Transfer between Two Parallel Porous Plates, Applied Scientific Research, 39 (1982), 2, pp. 155-165
- Hassan, A. R., The Entropy Generation Analysis of a Reactive Hydromagnetic Couple Stress Fluid-Flow through a Saturated Porous Channel, Applied Mathematics and Computation, 369 (2020), 124843
- Islam, S., et al., Influences of Hall Current and Radiation on MHD Micropolar Non-Newtonian Hybrid Nanofluid-Flow between Two Surfaces, AIP Advances, 10 (2020), 5, 055015-11
- Delhi Babu, R., Ganesh, S., The Mathematical Model for Steady Magnetohydrodynamic Flow between Parallel Porous Plates with an Angular Velocity, International Journal of Ambient Energy, 41 (2020), 11, pp. 1284-1292.
- Algehyne, E. A., et al., Numerical Simulation of Bioconvective Darcy Forchhemier Nanofluid-Flow with Energy Transition over a Permeable Vertical Plate, Scientific Reports, 12 (2022), 1, pp. 1-12
- Anusha, T., et al., An MHD of Nanofluid-Flow over a Porous Stretching/Shrinking Plate with Mass Transpiration and Brinkman Ratio, Transport in Porous Media, 142 (2022), 1, pp. 333-352
- Shahid, A., et al., Numerical Experiment to Examine Activation Energy and Bi-Convection Carreau Nanofluid-flow on an upper Paraboloid Porous Surface: Application in Solar Energy, Sustainable Energy Technologies and Assessments, 52 (2022), 102029
- Ahmad, S., et al., Nanofluid-Flow Comprising Gyrotactic Microorganisms through a Porous Medium, Journal of Applied Fluid Mechanics, 13 (2020), 5, pp. 1539-1549
- Eid, M. R., Nafe, M. A., Thermal Conductivity Variation and Heat Generation Effects on Magneto-Hybrid Nanofluid-Flow in a Porous Medium with Slip Condition, Waves in Random and Complex Media, 32 (2022), 3, pp. 1103-1127
- Abdal, S., et al., Exploring the Magnetohydrodynamic Stretched Flow of Williamson Maxwell Nanofluid through Porous Matrix over a Permeated Sheet with Bioconvection and Activation Energy, Scientific Reports, 12 (2022), 1, pp. 1-12
- Liao, S. J., An Explicit, Totally Analytic Approximate Solution for Blasius' Viscous Flow Problems, International Journal of Non-Linear Mechanics, 34 (1999), 4, pp. 759-778
- Liao, S. J., An Optimal Homotopy-Analysis Approach for Strongly Non-Linear Differential Equations, Communications in Non-linear Science and Numerical Simulation, 15 (2010), 8, pp. 2003-2016
- Hatami, M., et al., Computer Simulation of MHD Blood Conveying Gold Nanoparticles as a Third Grade Non-Newtonian Nanofluid in a Hollow Porous Vessel, Computer Methods and Programs in Biomedicine, 113 (2014), 2, pp. 632-641
- Tzirtzilakis, E. E., A Mathematical Model for Blood Flow in Magnetic Field, Physics of Fluids, 17 (2005), 7, 077103
- Papadopoulos, P. K., Tzirtzilakis, E. E., Biomagnetic-Flow in a Curved Square Duct under the Influence of an Applied Magnetic Field, Physics of Fluids, 16 (2004), 8, pp. 2952-2962
- Misra, J. C., Ghosh, S. K., A Mathematical Model for the Study of Blood Flow through a Channel with Permeable Walls, Acta Mechanica, 122 (1997), 1, pp. 137-153
- Seyf, H. R., Rassoulinejad-Mousavi, S. M., An Analytical Study for Fluid-flow in a Porous Media Imbedded Inside a Channel with Moving or Stationary Walls Subjected to Injection/Suction, Journal of Fluids Engineering, 133 (2011), 9, 091203
- Bachok, N., et al., The Boundary-Layers of an Unsteady Stagnation-Point Flow in a Nanofluid, International Journal of Heat and Mass Transfer, 55 (2012), 23-24, pp. 6499-6505
- Srinivas, S., et al., Hydromagnetic-Flow of a Nanofluid in a Porous Channel with Expanding or Contracting Walls, Journal of Porous Media, 17 (2014), 11, pp. 953-967
- Zhang, C., et al., The MHD Flow and Radiation Heat Transfer of Nanofluids in Porous Media with Variable Surface Heat Flux and Chemical Reaction, Applied Mathematical Modelling, 39 (2015), 1, pp. 165-181