ABSTRACT
This study examines how bioconvection is affected by viscous dissipation in Walter-B nanofluid-flow across a stretching surface while taking activation energy into account. There are several uses for viscous dissipation in many different domains. These applications span from comprehending natural phenomena to engineering and manufacturing processes. Which include material processing methods like polymer extrusion, fluid-flow optimization in high speed applications, and heat transfer augmentation in various systems. A mathematical model is developed by using stress tensor of Walter-B fluid model and Buongiorns model to analyze the dynamics of nanofluid. The only two slip mechanism namely thermophoretic and Brownian motion are discussed. Using the shooting technique bvp4c, to address the non-linear ODE. The following factors are examined: radioactivity, magnetic parameter, Soret number, Peclet number, Brownian motion parameter, Prandtl number, Dufour number, Lewis number for bioconvection, radiation parameter, and melting parameter. A graphic representation of the effects of the pertinent factors on the velocity, temperature, and concentration profiles are shown, together with the Sherwood number, Nusselt number, and skin friction coefficient. With a rise in the magnetic and viscoelastic parameters, velocity decreases. The temperature upsurges with increases in the radiation parameter, magnetic parameter, Dufour number, and Brownian motion parameter. The concentration rises with an increase in the thermophoresis parameter, but falls with an increase in the Brownian motion parameter. As the Peclet number and Bioconvection Lewis number rise, so does the field of microorganisms.
KEYWORDS
PAPER SUBMITTED: 2025-02-02
PAPER REVISED: 2025-05-06
PAPER ACCEPTED: 2025-07-20
PUBLISHED ONLINE: 2025-09-26
THERMAL SCIENCE YEAR
2025, VOLUME
29, ISSUE
Issue 4, PAGES [3167 - 3178]
- Walter, K. J., Non-Newtonian Effects in Some Elastic-Viscous Liquids Whose Behaviour at Small Rates of Shear Is Characterized by a General Linear Equation of State, The Quarterly Journal of Mechanics and Applied Mathematics, 15 (1962), 1, pp. 63-76
- Nandeppanavar, M. M., et al., Heat Transfer in a Walter's Liquid B Fluid over an Impermeable Stretching Sheet with Non-Uniform Heat Source/Sink and Elastic Deformation, Communication in Non-linear Science and Numerical Simulation, 15 (2010), 7, pp. 1791-1802
- Choi, S. U. S., Eastman, J. A., Enhancing Thermal Conductivity of Fluids with Nanopartiles, No. ANL/MSD/CP-84938;CONF-951135-29, Argonne National Lab. (ANL), Argonne, Ill., USA, 1995
- Buongiorno, J., Convective Transport in Nanofluids, ASME J. of Heat and Mass Transfer, 128 (2006), 3, pp. 240-250
- Hayat, T., et al., Radiation Effectson the Mixed Convection flow Induced by an Inclined Stretching Cylinder with Non-Uniform Heat Source/Sink, PLoS One, 12 (2017), 4, e0175584
- Asghar, A., The 2-D Magnetized Mixed Convection Hybrid Nanofluid over a Vertical Exponentially Shrinking Sheet by Thermal Radiation, Joul Heating, Velocity and Thermal Slip Condition, J. Adv. Fluid Mech.Therm. Sci., 95 (2022), 2, pp. 159-179
- Nadeem, S., et al., Inspection of Hybrid Based Nanofluid-Flow over a Curved Surface, Computer Methods and Programs in Biomedicine, 189 (2020), 105193
- Eshgarf, H., et al., A Review of Multi-Phase and Single-Phase Models in the Numerical Simulation of Nanofluid-Flow in Heat Exchangers, Engineering Analysis with Boundry Elements, 146 (2023), Jan., pp. 910-927
- Ali, K., et al., Thermo-Fluidic Transport Process in Magnetohydrodynamic Couette Channel Containing Hybrid Nanofluid, Partial Differential Equations in Applied Mathematics, 7 (2023), 100468
- Azam, M., et al., The 3-D Convective Flow Sutterby Nanofluid with Activation Energy, Case Studies in Thermal Engineering, 50 (2023), 103446
- Hussain, M., Sheremet, M., Convection Analysis of the Radiative Nanofluid-Flow through Porous Media over a Stretching Surface with Inclined Magnetic Field, International Communication in Heat and Mass Transfer, 140 (2023), 106559
- Acharya, N., Kalidas, D., The 3-D Rotating Flow of Cu-Al203/Kerosene Oil Hybrid Nanofluid in Presence of Activation Energy and Thermal Radiation, Numerical Heat Transfer - Part A, Applications, 84 (2023), 6, pp. 586-603
- Sharma, B. K., et al., Bayesianregularization Networks for Micropolar Ternary Hybrid Nanofluid-Flow of Blood with Homogenous and Heterogenous Reaction: Entropy Generation Optimization, Alexandria Engineering Journal, 77 (2023), Aug., pp. 127-148
- Moatimid, G. M., et al., Heat and Mass Flux through a Reiner-Rivlin Nanofluid-Flow Past a Spinning Stretching Disc: Cattaneo-Christov Model, Scientific Reports, 12 (2022), 1, 14468
- Turkyilmazoglu, M., Condensation of Laminar Film over Curved Vertical Walls Using Single and Two-Phase Nanofluid Models, European Journal of Mechanics-B/Fluids, 65 (2017), Sept.-Oct., pp. 184-191
- Muhammad, T., et al., Significance off Non-Linear Thermal Radiation in 3D Eyring-Powell Nanofluid-Flow with Arrhenius Activation Energy, Journal of Thermal Analysis and Calorimetry, 143 (2021), 1, pp. 929-944
- Awan, S. E., et al., Numerical Treatments to Analyze the Non-Linear Radiative Heat Transfer in MHD Nanofluid-Flow with Solar Energy, Arabian Journal For Science and Engineering, 45 (2020), May, pp. 4975-499
- Sheikholeslami, M., et al., Numerical Simulation of MHD Nanofluid-Flow and Heat Transfer Considering Viscous Dissipation, International Journal of Heat and MassTransfer, 79 (2014), Dec., pp. 212-222
- Maleki, H., et al., Heat Transfer and Fluid-Flow of Pseudo-Plastic Nanofluid over a Moving Permeable Plate with Viscous Dissipation and Heat Absorption/Generation, Journal of Thermal Analysis and Calorimetry, 135 (2019), 3, pp. 1643-1654
- Saleem, S., et al., An Optimal Analysis of Radiated Nanomaterial Flow with Viscous Dissipation and Heat Source, Microsystem Technologies, 25 (2019), June, pp. 683-689
- Ganga, B., et al., The MHD Radiative Boundry Layer Flow of Nanofluid Past a Vertical Plate with Internal Heat Generation/Absorption, Viscous and Ohmic Dissipation Effects, Journal of the Nigerian Mathematical Society, 34 (2015), 2, pp. 181-194
- Crane, L. J., Flow Past a Stretching Plate, Zeitschrift fur angewandte Mathematik and physik ZAMP, 21 (1970), July, pp. 645-647
- Elbashbeshy, E. M. A., Bazid, M. A. A., Heat Transferover an Unsteady Stretching Surface, Heat and Mass Transfer, 41 (2004), 1, pp. 1-4
- Shridan, S., et al., Similarity Solutions for the Unsteady Boundry Layer Flow and Heat Transfer Due to a Stretching Sheet, Applied Mechanics and Engineering, 11 (2006), 3, 647
- Tsai, R., et al., Flow and Heat Transfer over an Unsteady Stretching Surface with Non-Uniform Heat Sourc, International Communication in Heat and Mass Transfer, 35 (2008), 10, pp. 1340-1343
- Ishaq, A., et al., Heat Transfer over an Unsteady Stretching Permeable Surface with Prescribed Wall Temperature, Non-Liner Analysis, Real world Applications, 10 (2009), 5, pp. 2909-2913
- Hayat, T., Awais, M., Simultaneous Sffects of Heat and Mass Transfer on Time-Dependent Flow over a Stretching Surface, International Journal for Numerical Methods in Fluid, 67 (2010), 11, pp. 1341-1357
- Bhattacharyya, K., et al., Slip Effects on an Unsteady Boundary-Layer Stagnation-Point Flow and Heat Transfer Towards a Stretching Sheet, Chinese Physics Letter, 28 (2011), 9, 094702
- Hayat, T., et al., Unsteadyb 3-D flow of Couple Stress Fluid over a Stretching Surface with Chemical Reaction, Non-Linear Analysis, Modelling and Control, 17 (2012), 1, pp. 47-59
- Rashid, M., et al., Magnetohydrodynamic Flow of Maxwell Nanofluid with Binary Chemical Reaction and Arrhenius Activation Energy, Applied Nanoscience, 10 (2020), Sept., pp. 2951-2963
- Tayebi, T., Chamkha, A. J., Magnetohydrodynamic Natural-Convection Heat Transfer of Hybrid Nanofluid in a Square Enclosure in the Presence of a Wavy Circular Conductive Cylinder, Journal of Thermal Science and Engineering Applications, 12 (2020), 3, 031009
- Hayat, T., et al., Influence of Arrhenious Activation Energy in MHD Flowof Third Grade Nanofluid over a Non-Linear Stretching Surface with Convective Heat and Mass Condition, Physica A: Statiscal Mechanics and its Application, 549 (2020), 124006
- Dawar, A., et al., Mathematical Modelling and Study of MHD Flow of Williamson Nanofluid over a Non-Linear Stretching Plate with Activation Energy, Heat Transfer, 50 (2021), 3, pp. 2558-2570
- Hayat, T., et al., Effects of Binary Chemical Reaction and Arrhenious Activation Energy in Darcy-Forchhiemer 3-D Flow of Nanofluid Subject to Rotating Frame, Journal of Thermal Analysis and Calorimetry, 136 (2019), Oct., pp. 1769-1779
- Khan, W. A., et al., Consequences of Activation Energy and Binary Chemical Reaction for 3-D Flow of Cross-Nanofluid With Radiative Heat Transfer, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41 (2019), Nov., pp. 1-13
- Aziz, A., et al., Free Convection Boundry Layer Flow Past a Horizontal Flat Plate Embedded in Porous Medium Filled by Nanofluid Containing Gyrotactic Microorganisms, International Journal of Thermal Sciences, 56 (2012), June, pp. 48-57
- Shaw, S., et al., Magnetic Field and Viscous Dissipation Effect on Bioconvection in a Permeable Sphere Embeddedin a Porous Medium with a Nanofluid Containing Gyrotactic Microorganisms, Heat Transfer-Asian Reseach, 47 (2018), 5, pp. 718-734
- Acharya, N., et al., Framing the Effects of Solar Radiation on Magneto-Hydrodynamics Bioconvection Nanofluid-Flow in Presence of Gyrotactic Microorganism, Journal of Molecular Liquids, 222 (2016), Oct., pp. 28-37
- Khan, W. A., et al., The MHD Boundry Layer Flow of a Nanofluid Containing Gyrotactic Microorganisms Past A Vertical Plate with Navier Slip, International Journal of Heat and Mass Transfer, 74 (2014), July, pp. 285-291
- Kuznetsov, A. V., The Onset of Nanofluid Bioconvection in a Suspension Containing Both Nanoparticles and Gyrotactic Microorganisms, International Communications in Heat and Mass Transfer, 37 (2010), 10, pp. 1421-1425
- Mabood, F., et al., The Cu-Al203-H2O Hybrid Nanofluid-Flow with Melting Heat Transfer, Irreversibility analysis and Non-Linear Thermal Radiation, Journal of Thermal Analysis and Calorimetry, 143 (2021), 2, pp. 973-984