ANALYSIS OF VISCOSITY VARIATION AND COUPLE STRESS FLUID-BASED SQUEEZED FILM LUBRICATION BETWEEN POROUS CIRCULAR PLATES CONSIDERING EFFECT OF SLIP VELOCITY N. MALLESH, K. R. VASANTH, B. N. HANUMAGOWDA, SUNITA PRIYA D’SILVA Surface Review and Letters, 2026 Based on Barus’s experiments and the Morgan and Cameron method, a mathematical model is examined to comprehend how couple stress features in non-Newtonian fluids and piezo-viscous behavior impact the lubrication of porous circular plates while accounting for slip velocity. The results for particular parameter settings are shown graphically. According to the results, permeability tends to decrease pressure, load-bearing capacity, and lubrication film duration, whereas pressure-influenced viscosity considerably increases load-bearing capacity and extends squeeze film length. The current results align with the earlier studies. The results indicate that adding couple stress effects increases the load-carrying ability by about 8–10%. Additionally, there is a noticeable increase in the squeeze film reaction time, which suggests improved lubrication performance.
Thermodynamic analysis on the SWCNT-EG-based nanofluid flow in a squeezing horizontal channel under the influence of thermal radiation and viscous dissipation Sampath Kumar V.S., Ali J. Chamkha, Devaki B., Nityanand P. Pai, Pareekshith G. Bhat, Rollin Preetha Vaz, Vasanth K.R., Ganesh Kumar K., Ashwin Kumar Devaraj Partial Differential Equations in Applied Mathematics, 2025 The current study theoretically examines the behaviour of heat transfer in the ethylene glycol (EG)-based nanofluid containing single-walled carbon nanotubes (SWCNT) flow that is squeezed between a pair of horizontal parallel plates. Due to its superior thermal conductivity , EG-based SWCNT nanofluids are well-suited for use in high-performance cooling systems , including automotive radiators, electronic thermal management , industrial refrigeration , and heat exchangers across power generation , HVAC, and chemical processing applications. This study further focuses on analysing the thermal radiation effect on the thermodynamic properties of the viscous dissipated nanofluid flow. Employing suitable similarity transformations, the equations that govern flow and energy arising in the study are converted into a set of non-linear ordinary differential equations (ODEs), after which an approximate analytic solution is achieved using the homotopy perturbation method (HPM). This study mainly emphasizes on investigating the influence of distinct pertinent physical parameters on the velocity distribution curves, skin friction coefficient , temperature fields , and heat transfer rate . The HPM results are further compared with those of the classical finite difference method (FDM). It is evident from the current study that an elevation in the squeezing parameter and the Eckert number enhances the Nusselt number and temporal distribution curve. However, an elevation in the radiation parameter decreases the Nusselt number .
A theoretical investigation into the effects of slip velocity and piezo viscous behaviour on couple stress fluids along circular plates N Mallesh, K R Vasanth, B N Hanumagowda, Sunita Priya D'Silva International Journal of Thermofluids, 2025 This research examines the effect of piezo viscous dependency on the slip velocity between circular plates and the lubrication behaviour of couple stress squeeze films. The revised Reynolds equation is developed while maintaining the foundation of Christensen's stochastic theory. We derive the non-dimensional pressure distribution, load carrying capacity, and squeeze film time by solving the Reynolds equation. Using Origin Software and the Mathematica tool to demonstrate numerical analysis using the Simpsons 1/3rd rule. how the Harmann number, coupling stress parameter, slip velocity, permeability parameter, and squeeze film duration affect the pressure profile, load carrying capacity, and squeeze film time. The conventional perturbation technique is used to answer the problems of pressure within the fluid film, the duration of the squeeze film, and the capacity for load support. As the variation of viscosity increases in circular plates, the load gradually increases over time. Additionally, as time progresses, the slip velocity and its variation also increase. This trend can be observed in Table 1, The findings, which are shown graphically for a few chosen physical characteristics, show that a bearing's squeeze action is diminished, while the pressure, ability to carry loads, and duration of approach are all negatively impacted by increased permeability.
Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication of rough Triangular plates Vinutha R, Hanumagowda B. N, Vasanth K. R, Ganesh Kumar K International Journal of Thermofluids, 2024 In this study, Christensen's stochastic theory is utilized on rough surfaces' hydrodynamic lubricating effect to examine how surface roughness , couple stress fluid, slip velocity , magnetohydrodynamic (MHD), and the triangular surface interact. Modified Reynolds equation is derived analytically using combining theories of Stokes couple stresses, Lorentz forces , and Christensen's stochastic hypothesis about hydrodynamic lubrication . Pressure, load carrying capacity and squeeze film time expression is derived mathematically using Reynolds equation that accounts for surface roughness and coupling stress. For various parameters including rough parameter, slip velocity, Hartmann number , and couple stress, the lubricating characteristics are analysed graphically. Squeeze film time, load carrying capacity , and pressure are enhanced by an increase in slip velocity, couplestress and magnetic field . The lubrication characteristics decreases (increases) on squeeze film pressure, load carrying capacity and squeeze film time through increasing values of the longitudinal (transverse) roughness parameter .
ROUGH POROUS CIRCULAR PLATES LUBRICATED WITH COUPLE STRESS FLUID AND PRESSURE DEPENDENT VISCOSITY Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 2022
Combined effect of piezo-viscous dependency and non-Newtonian couple stresses in porous squeeze-film circular plate Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 2018
Numerical simulation of cobalt coated ferrite nanoparticle flow and exponential heat transfer over an expanding cylinder D Bhavya, MS Sarvajith, KR Vasanth, KG Kumar Next Materials 12, 102151 , 2026 2026
Hybrid nanofluid flow with Cattaneo–Christov heat flux in the Yamada–Ota model: A Levenberg–Marquardt neural network approach KP Salian, M Mascarenhas, KR Vasanth, KG Kumar International Communications in Heat and Mass Transfer 174, 110871 , 2026 2026
Analysis of Characteristics of Squeeze Film of Sisko Fluid between Curved Circular and Flat Plates MB Rakshitha, KR Vasanth, BN Hanumagowda Progress in Engineering Science, 100268 , 2026 2026
A comparative mathematical framework for strontium Stannate nanoparticle flow over a stretching sheet with Forchheimer effect DB Anitha, KR Vasanth, KG Kumar International Communications in Heat and Mass Transfer 173, 110806 , 2026 2026
Analysis of viscosity variation and couple stress fluid based squeezed film lubrication between porous circular plates considering effect of slip velocity N Mallesh, KR Vasanth, BN Hanumagowda, SP D'Silva Surface Review and Letters , 2026 2026
Application of Levenberg-Marquardt backpropagation algorithm to the Yamada-Ota model for thermal study of a TiO2-SiO2/Hexanol hybrid fluid: A heat transfer system NN Pai, KP Salian, KR Vasanth, KG Kumar Case Studies in Thermal Engineering 78, 107518 , 2026 2026
Strontium stannate hybrid nanofluid flow and heat transfer over a sheet: KKL model analysis DB Anitha, M Sudharani, MS Sarvajith, KR Vasanth, KG Kumar Case Studies in Thermal Engineering, 107312 , 2025 2025
Computational analysis of strontium stannate nanoparticles flow and non-Fourier-Fick’s heat flux over an expanding cylinder: A nanoparticles aggregation study D Bhavya, KR Vasanth, HJ Gowtham, KG Kumar Journal of Molecular Liquids 427, 127460 , 2025 2025 Citations: 5
Two-dimensional Reynolds equation for squeeze film lubrication between wide parallel rectangular plates with the effect of magnetic field and micro–polar fluid BS Asha, HM Shivakumar, BN Hanumagowda, H Brinda, KR Vasanth International Journal of Applied and Computational Mathematics 11 (3), 97 , 2025 2025 Citations: 2
A theoretical investigation into the effects of slip velocity and piezo viscous behaviour on couple stress fluids along circular plates SPDS N Mallesh, K R Vasanth, B N Hanumagowda International Journal of Thermofluids 27 , 2025 2025
Analysis of flow and heat transfer characteristics of ethylene glycol-based magnetite nanoparticles squeezed between parallel disks with magnetic effect: VSS Kumar et al. VSS Kumar, B Devaki, PG Bhat, NP Pai, KR Vasanth, KG Kumar Journal of Thermal Analysis and Calorimetry 149 (21), 12219-12230 , 2024 2024 Citations: 11
Effect of magnetic field and slip velocity on the performance of bearings lubricated by couple stress fluid on long cylinder and infinite plate—A theoretical analysis R Vinutha, BN Hanumagowda, KR Vasanth Modern Physics Letters B 38 (30), 2450176 , 2024 2024 Citations: 6
Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication characteristics of Long Cylinder and Infinite Rough Plate R Vinutha, BN Hanumagowda, KR Vasanth Tribology International 191, 109164 , 2024 2024 Citations: 15
Physical characteristics of variable thermal conductivity and MHD flow across a continually stretched sheet K Ganesh Kumar, DG Prakasha, MM Praveen, M Gnaneswara Reddy, ... Proceedings of the Institution of Mechanical Engineers, Part N: Journal of … , 2024 2024 Citations: 5
Study about the characteristics of squeeze film between rough porous curved annular plates in the presence of micropolar fluids N Chaithra, BN Hanumagowda, CK Sreekala, KR Vasanth Materials Today: Proceedings 100, 9-18 , 2024 2024 Citations: 2
Improvement for heat transfer applications through a ternary alloy on flow over a melted sheet M Archana, KG Kumar, DG Prakasha, KR Vasanth, MI Khan International Journal of Thermofluids 20, 100505 , 2023 2023 Citations: 10
Rough porous circular plates lubricated with couple stress fluid and pressure dependent viscosity KR Vasanth, BN Hanumagowda Işık University Press , 2022 2022 Citations: 4
Combined Effect of Piezo-Viscous Dependency and Non-Newtonian Couple Stresses in Porous Squeeze-Film Circular Plate V Kumar, HB Naganagowda, JS Kumar, RB Thimmaiah Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 51 (2 … , 2018 2018 Citations: 10
Combined effect of surface roughness and pressure-dependent viscosity over couple-stress squeeze film lubrication between circular stepped plates BN Hanumagowda, BT Raju, J Santhosh Kumar, KR Vasanth Proceedings of the Institution of Mechanical Engineers, Part J: Journal of … , 2018 2018 Citations: 22
MOST CITED SCHOLAR PUBLICATIONS
Combined effect of surface roughness and pressure-dependent viscosity over couple-stress squeeze film lubrication between circular stepped plates BN Hanumagowda, BT Raju, J Santhosh Kumar, KR Vasanth Proceedings of the Institution of Mechanical Engineers, Part J: Journal of … , 2018 2018 Citations: 22
Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication characteristics of Long Cylinder and Infinite Rough Plate R Vinutha, BN Hanumagowda, KR Vasanth Tribology International 191, 109164 , 2024 2024 Citations: 15
Effect of pressure dependent viscosity on couple stress squeeze film lubrication between porous circular stepped plates BN Hanumagowda, BT Raju, J Santhosh Kumar, KR Vasanth Journal of Physics: Conference Series 1000 (1), 012081 , 2018 2018 Citations: 13
Analysis of flow and heat transfer characteristics of ethylene glycol-based magnetite nanoparticles squeezed between parallel disks with magnetic effect: VSS Kumar et al. VSS Kumar, B Devaki, PG Bhat, NP Pai, KR Vasanth, KG Kumar Journal of Thermal Analysis and Calorimetry 149 (21), 12219-12230 , 2024 2024 Citations: 11
Improvement for heat transfer applications through a ternary alloy on flow over a melted sheet M Archana, KG Kumar, DG Prakasha, KR Vasanth, MI Khan International Journal of Thermofluids 20, 100505 , 2023 2023 Citations: 10
Combined Effect of Piezo-Viscous Dependency and Non-Newtonian Couple Stresses in Porous Squeeze-Film Circular Plate V Kumar, HB Naganagowda, JS Kumar, RB Thimmaiah Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 51 (2 … , 2018 2018 Citations: 10
Effect of magnetic field and slip velocity on the performance of bearings lubricated by couple stress fluid on long cylinder and infinite plate—A theoretical analysis R Vinutha, BN Hanumagowda, KR Vasanth Modern Physics Letters B 38 (30), 2450176 , 2024 2024 Citations: 6
Computational analysis of strontium stannate nanoparticles flow and non-Fourier-Fick’s heat flux over an expanding cylinder: A nanoparticles aggregation study D Bhavya, KR Vasanth, HJ Gowtham, KG Kumar Journal of Molecular Liquids 427, 127460 , 2025 2025 Citations: 5
Physical characteristics of variable thermal conductivity and MHD flow across a continually stretched sheet K Ganesh Kumar, DG Prakasha, MM Praveen, M Gnaneswara Reddy, ... Proceedings of the Institution of Mechanical Engineers, Part N: Journal of … , 2024 2024 Citations: 5
Rough porous circular plates lubricated with couple stress fluid and pressure dependent viscosity KR Vasanth, BN Hanumagowda Işık University Press , 2022 2022 Citations: 4
Combined Effect of Piezoviscous Dependency and Non-Newtonian Couple Stress on Squeeze-Film Porous Annular Plate KR Vasanth, BN Hanumagowda, JS Kumar Journal of Physics: Conference Series 1000 (1), 012080 , 2018 2018 Citations: 3
Two-dimensional Reynolds equation for squeeze film lubrication between wide parallel rectangular plates with the effect of magnetic field and micro–polar fluid BS Asha, HM Shivakumar, BN Hanumagowda, H Brinda, KR Vasanth International Journal of Applied and Computational Mathematics 11 (3), 97 , 2025 2025 Citations: 2
Study about the characteristics of squeeze film between rough porous curved annular plates in the presence of micropolar fluids N Chaithra, BN Hanumagowda, CK Sreekala, KR Vasanth Materials Today: Proceedings 100, 9-18 , 2024 2024 Citations: 2
Numerical simulation of cobalt coated ferrite nanoparticle flow and exponential heat transfer over an expanding cylinder D Bhavya, MS Sarvajith, KR Vasanth, KG Kumar Next Materials 12, 102151 , 2026 2026
Hybrid nanofluid flow with Cattaneo–Christov heat flux in the Yamada–Ota model: A Levenberg–Marquardt neural network approach KP Salian, M Mascarenhas, KR Vasanth, KG Kumar International Communications in Heat and Mass Transfer 174, 110871 , 2026 2026
Analysis of Characteristics of Squeeze Film of Sisko Fluid between Curved Circular and Flat Plates MB Rakshitha, KR Vasanth, BN Hanumagowda Progress in Engineering Science, 100268 , 2026 2026
A comparative mathematical framework for strontium Stannate nanoparticle flow over a stretching sheet with Forchheimer effect DB Anitha, KR Vasanth, KG Kumar International Communications in Heat and Mass Transfer 173, 110806 , 2026 2026
Analysis of viscosity variation and couple stress fluid based squeezed film lubrication between porous circular plates considering effect of slip velocity N Mallesh, KR Vasanth, BN Hanumagowda, SP D'Silva Surface Review and Letters , 2026 2026
Application of Levenberg-Marquardt backpropagation algorithm to the Yamada-Ota model for thermal study of a TiO2-SiO2/Hexanol hybrid fluid: A heat transfer system NN Pai, KP Salian, KR Vasanth, KG Kumar Case Studies in Thermal Engineering 78, 107518 , 2026 2026
