Stochastic reynolds equation for magnetohydrodynamics micropolar fluid and surface roughness in squeeze-film lubrication characteristics of rough parallel rectangular plates
This study presents a comprehensive theoretical investigation into the influence of surface roughness, magnetohydrodynamics (MHD), and micropolar fluid dynamics on the squeeze film behavior between two wide, parallel rectangular plates. A modified Reynolds equation is derived by incorporating Eringe...
Saved in:
| Main Authors: | , , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-09-01
|
| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818125001962 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849239393833844736 |
|---|---|
| author | B.S. Asha H.M. Shivakumar B.N. Hanumagowda Jagadish V. Tawade Barno Abdullaeva Manish Gupta Murali Gundagani Taoufik Saidani Nadia Batool |
| author_facet | B.S. Asha H.M. Shivakumar B.N. Hanumagowda Jagadish V. Tawade Barno Abdullaeva Manish Gupta Murali Gundagani Taoufik Saidani Nadia Batool |
| author_sort | B.S. Asha |
| collection | DOAJ |
| description | This study presents a comprehensive theoretical investigation into the influence of surface roughness, magnetohydrodynamics (MHD), and micropolar fluid dynamics on the squeeze film behavior between two wide, parallel rectangular plates. A modified Reynolds equation is derived by incorporating Eringen’s microcontinuum theory, Christensen’s stochastic surface roughness model, and classical hydrodynamic principles. The model accounts for the effects of a perpendicular magnetic field and longitudinal surface irregularities. Key performance parameters—namely pressure distribution, load-carrying capacity, and squeeze film duration—are obtained analytically and evaluated using dimensionless groups such as the Hartmann number, coupling number, fluid gap interaction number, and surface roughness parameter. The results demonstrate that incorporating micropolar fluid properties and MHD effects significantly enhances squeeze film performance compared to the Newtonian fluid case. Surface roughness is also found to play a beneficial role in improving load support and film retention. The findings offer valuable insights for designing advanced lubrication systems in engineering applications where microstructural effects and magnetic fields are present. |
| format | Article |
| id | doaj-art-a3ba6a594c454decb00eb79caf41fc73 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-a3ba6a594c454decb00eb79caf41fc732025-08-20T04:01:01ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-09-011510126910.1016/j.padiff.2025.101269Stochastic reynolds equation for magnetohydrodynamics micropolar fluid and surface roughness in squeeze-film lubrication characteristics of rough parallel rectangular platesB.S. Asha0H.M. Shivakumar1B.N. Hanumagowda2Jagadish V. Tawade3Barno Abdullaeva4Manish Gupta5Murali Gundagani6Taoufik Saidani7Nadia Batool8Department of Mathematics, East West Institute of Technology, Bengaluru-560091, India; Visvesvaraya Technological University, Belagavi 590018, IndiaDepartment of Mathematics, East West Institute of Technology, Bengaluru-560091, IndiaDepartment of Mathematics, School of Applied Science, REVA University, Bengaluru-560064, IndiaDepartment of Mathematics, Vishwakarma University Pune 411048, India; Corresponding author.Department of Mathematics and Information Technologies, Vice-Rector for Scientific Affairs, Tashkent State Pedagogical University, Tashkent, UzbekistanDivision of Research and Development, Lovely Professional University, Phagwara, IndiaDepartment of Mathematics, Geethanjali College of Engineering and Technology, Cheeryal, IndiaDepartment of Mathematics, East West Institute of Technology, Bengaluru-560091, India; Visvesvaraya Technological University, Belagavi 590018, India; Department of Mathematics, School of Applied Science, REVA University, Bengaluru-560064, India; Department of Mathematics, Vishwakarma University Pune 411048, India; Department of Mathematics and Information Technologies, Vice-Rector for Scientific Affairs, Tashkent State Pedagogical University, Tashkent, Uzbekistan; Division of Research and Development, Lovely Professional University, Phagwara, India; Department of Mathematics, Geethanjali College of Engineering and Technology, Cheeryal, India; Department of Physics, Government College University Faisalabad, Faisalabad 38000, Pakistan; Center for Scientific Research and Entrepreneurship, Northern Border University, 73213 Arar, Saudi ArabiaDepartment of Physics, Government College University Faisalabad, Faisalabad 38000, PakistanThis study presents a comprehensive theoretical investigation into the influence of surface roughness, magnetohydrodynamics (MHD), and micropolar fluid dynamics on the squeeze film behavior between two wide, parallel rectangular plates. A modified Reynolds equation is derived by incorporating Eringen’s microcontinuum theory, Christensen’s stochastic surface roughness model, and classical hydrodynamic principles. The model accounts for the effects of a perpendicular magnetic field and longitudinal surface irregularities. Key performance parameters—namely pressure distribution, load-carrying capacity, and squeeze film duration—are obtained analytically and evaluated using dimensionless groups such as the Hartmann number, coupling number, fluid gap interaction number, and surface roughness parameter. The results demonstrate that incorporating micropolar fluid properties and MHD effects significantly enhances squeeze film performance compared to the Newtonian fluid case. Surface roughness is also found to play a beneficial role in improving load support and film retention. The findings offer valuable insights for designing advanced lubrication systems in engineering applications where microstructural effects and magnetic fields are present.http://www.sciencedirect.com/science/article/pii/S2666818125001962MagnetohydrodynamicsMicro-polar fluidsSqueeze filmSurface roughnessStochastic theory |
| spellingShingle | B.S. Asha H.M. Shivakumar B.N. Hanumagowda Jagadish V. Tawade Barno Abdullaeva Manish Gupta Murali Gundagani Taoufik Saidani Nadia Batool Stochastic reynolds equation for magnetohydrodynamics micropolar fluid and surface roughness in squeeze-film lubrication characteristics of rough parallel rectangular plates Partial Differential Equations in Applied Mathematics Magnetohydrodynamics Micro-polar fluids Squeeze film Surface roughness Stochastic theory |
| title | Stochastic reynolds equation for magnetohydrodynamics micropolar fluid and surface roughness in squeeze-film lubrication characteristics of rough parallel rectangular plates |
| title_full | Stochastic reynolds equation for magnetohydrodynamics micropolar fluid and surface roughness in squeeze-film lubrication characteristics of rough parallel rectangular plates |
| title_fullStr | Stochastic reynolds equation for magnetohydrodynamics micropolar fluid and surface roughness in squeeze-film lubrication characteristics of rough parallel rectangular plates |
| title_full_unstemmed | Stochastic reynolds equation for magnetohydrodynamics micropolar fluid and surface roughness in squeeze-film lubrication characteristics of rough parallel rectangular plates |
| title_short | Stochastic reynolds equation for magnetohydrodynamics micropolar fluid and surface roughness in squeeze-film lubrication characteristics of rough parallel rectangular plates |
| title_sort | stochastic reynolds equation for magnetohydrodynamics micropolar fluid and surface roughness in squeeze film lubrication characteristics of rough parallel rectangular plates |
| topic | Magnetohydrodynamics Micro-polar fluids Squeeze film Surface roughness Stochastic theory |
| url | http://www.sciencedirect.com/science/article/pii/S2666818125001962 |
| work_keys_str_mv | AT bsasha stochasticreynoldsequationformagnetohydrodynamicsmicropolarfluidandsurfaceroughnessinsqueezefilmlubricationcharacteristicsofroughparallelrectangularplates AT hmshivakumar stochasticreynoldsequationformagnetohydrodynamicsmicropolarfluidandsurfaceroughnessinsqueezefilmlubricationcharacteristicsofroughparallelrectangularplates AT bnhanumagowda stochasticreynoldsequationformagnetohydrodynamicsmicropolarfluidandsurfaceroughnessinsqueezefilmlubricationcharacteristicsofroughparallelrectangularplates AT jagadishvtawade stochasticreynoldsequationformagnetohydrodynamicsmicropolarfluidandsurfaceroughnessinsqueezefilmlubricationcharacteristicsofroughparallelrectangularplates AT barnoabdullaeva stochasticreynoldsequationformagnetohydrodynamicsmicropolarfluidandsurfaceroughnessinsqueezefilmlubricationcharacteristicsofroughparallelrectangularplates AT manishgupta stochasticreynoldsequationformagnetohydrodynamicsmicropolarfluidandsurfaceroughnessinsqueezefilmlubricationcharacteristicsofroughparallelrectangularplates AT muraligundagani stochasticreynoldsequationformagnetohydrodynamicsmicropolarfluidandsurfaceroughnessinsqueezefilmlubricationcharacteristicsofroughparallelrectangularplates AT taoufiksaidani stochasticreynoldsequationformagnetohydrodynamicsmicropolarfluidandsurfaceroughnessinsqueezefilmlubricationcharacteristicsofroughparallelrectangularplates AT nadiabatool stochasticreynoldsequationformagnetohydrodynamicsmicropolarfluidandsurfaceroughnessinsqueezefilmlubricationcharacteristicsofroughparallelrectangularplates |