Dissolution Extrusion Film Dynamics: Elucidating Film Characteristics and Fluid Dynamics Behavior
DOI:
https://doi.org/10.53469/jrse.2025.07(03).03Keywords:
Thin films, Squeeze dynamics, Molecular speed, Reynolds equation, Hydrodynamic pressure, Film thickness, Numerical simulations, Mechanical systemsAbstract
This research paper investigates the intricate interplay between molecular speed and squeeze dynamics within thin films. Utilizing the Reynolds equation as the foundational framework, we delve into the hydrodynamic pressure of thin films subjected to squeeze action. Through mathematical derivation and analysis, we unveil the nuanced effects of molecular speed on various layers within the film, shedding light on how these dynamics influence pressure distribution. Our findings reveal that increases in film thickness, porosity and sliding motion with molecular speed exhibit differential impacts on the hydrodynamic pressure with significant implications for understanding the behavior of thin films under squeeze conditions.
References
Akbar, S., Shah, S. R., “DURYSTA” the first biodegradable sustained release implant for the treatment of open-angle glaucoma, International Journal of Frontiers in Biology and Pharmacy Research, 01(02), 1-7,
(2021). https://doi.org/10.53294/ijfbpr.2021.1.2.0042
Akbar, S., Shah, S. R., “Mathematical Study for the Outflow of Aqueous Humor and Function in the Eye”, International Journal of Scientific & Engineering Research, 11, 10, 743-750, (2020).
Alshehri, Mo., Sharma, S. K., Gupta, P., Shah, S. R., “Detection and Diagnosis of Learning Disabilities in Children of Saudi Arabia with Artificial Intelligence”, Research Square, 1-22, (2023). https://doi.org/10.21203/rs.3.rs-3301949/v1.
Anamika, Shah, S. R., “Mathematical and Computational study of blood flow through diseased artery”, International Journal of Computer Science, 5, (6), 1-6, (2017).
Anamika, Singh A., Shah, S. R., “Mathematical Modelling Of Blood Flow through Three Layered Stenosed Artery”, Int. J. for Research in Applied Science and Engineering Technology, 5, (6), 1-6, (2017).
Anamika, Singh A., Shah, S. R., “Mathematical Modelling of blood flow through tapered stenosed artery with the suspension of nanoparticles using Jeffrey fluid model”, International journal of development research, 7(6), 13494-13500, (2017).
Anamika, Singh, A., Shah, S. R., “Bio-Computational analysis of blood flow through two phase artery”, International Journal of Engineering Science and Computing, 7, (6), 13397-213401, (2017).
Chaturvedi, P., Shah, S. R., “Assessing the Clinical Outcomes of Voxelotor Treatment in Patients with Sickle Cell Disease”, International Journal of Applied Science and Biotechnology, 12(1), 46-53, (2024). 10.3126/ijasbt.v12i1.64057.
Chaturvedi, P., Shah, S. R., “Mathematical Analysis for the Flow of Sickle Red Blood Cells in Microvessels for Bio Medical Application, Yale Journal of Biology and Medicine, 96 (1), 13-21, (2023). 10.59249/ATVG1290.
Cheturvedi, P., Kumar, R., Shah, S. R., “Bio- Mechanical and Bio-Rheological Aspects of Sickle Red Cells in Microcirculation: A Mathematical Modelling Approach, Fluids, 6, 322, 01-15, (2021). https://doi.org/10.3390/fluids6090322.
Geeta, Siddiqui S. U., Sapna, “Mathematical Modelling of blood flow through catheterized artery under the influence of body acceleration with slip velocity”, Application and applied Mathematics An international journal, 8(2), 481-494, (2013). digitalcommons.pvamu.edu:aam-1333.
Geeta, Siddiqui S. U., Shah, S. R. “A Biomechanical approach to the effect of body acceleration through stenotic artery”, Applied Mathematics and Computation, 109(1), 27-41, (2015). https://doi.org/10.1016/j.amc.2015.03.082.
Geeta, Siddiqui S. U., Shah, S. R., “A Mathematical Model for two layered pulsatile blood flow through stenosed arteries”, E-Journal of Science and Technology, 109 (11), 27-41, (2015).
Geeta, Siddiqui S. U., Shah, S. R., “Effect of body acceleration and slip velocity on the pulsatile flow of casson fluid through stenosed artery”, Advance in applied science research, 5(3), 231-225, (2014).
Geeta, Siddiqui S. U., Shah, S. R.,“A Computational Analysis of a Two-Fluid non-Linear Mathematical model of pulsatile blood flow through Constricted Artery”, E-Journal of Sci. & Tech., 10(4), 65-78, (2015).
Gupta, P., Alshehri, Mo., Sharma, S. K., Shah, S. R., “Empowering the visually impaired: Translating Handwritten Digits into Spoken Language with HRNN- GOA and Haralick Features”, J. of Disability Research, 3, 1-21, (2024).
Kumar, P., Shah, S. R., “A Hydromechanical Perspective to Study the Effect of Body Acceleration through Stenosed Artery”, International journal of mathematical engineering and management sciences, 6 (5), 1381-1390, (2021). 10.33889/IJMEMS.2021.6.5.083.
Kumar, R., Chaturvedi, P., Akbar, S., Shah, S. R., “Prospective of Hydroxychloroquine and Zinc with Azithromycin for Nanoparticles Blood Flow in Covid- 19 Patients, International Journal of Nanotechnology in Medicine & Engineering, 6 (1), 01-07, (2021).
Kumar, R., Shah, S. R., “A mathematical approach to study the blood flow through tapered stenosed artery with the suspension of nanoparticles” Destech Transactions on Engineering and Technology Research, 01, 1-6, (2017). 10.12783/dtetr/amsm2017/14809
Kumar, R., Shah, S. R., “Mathematical Modeling of Blood Flow with the Suspension of Nanoparticles Through a Tapered Artery With a Blood Clot”, Frontiers in Nanotechnology, 2, 596475, 1-5, (2020). https://doi.org/10.3389/fnano.2020.596475.
Kumar, R., Shah, S. R., “Performance of blood flow with suspension of nanoparticles though tapered stenosed artery for jeffrey fluid model” International Journal of Nanoscience, 17, 6, 1850004 (1-7), (2018). 10.1142/S0219581X18500047.
Kumar, V., Shah, S. R., “A Mathematical study for heat transfer phenomenological processes in human skin”, International Journal of Mechanical Engineering, 7 (6), 683-692, (2022).
Kumar, V., Shah, S. R., “Mathematical modelling to study the heat transfer between core and skin”, SRMS, Journal of Mathematical Sciences, 7, 7-12, (2024). https://doi.org/10.29218/srmsmaths.v7i2.02 .
Kumar, V., Shah, S. R., “Thermobiological Mathematical Model for the study of temperature response after cooling effects”, SSRG International Journal of Applied physics, 9 (2), (2022), 7- 11.doi.org/10.14445/23500301/IJAP-V9I2P102.
Kumar., V, Shah, S R, “A mathematical approach to investigate the temperature distribution on skin surface with sinusoidal heat flux condition, Int J of Multidisciplinary Research and Development 9 (5)
(2022).
Lenin, J. S., Shah, S. R., “Mathematical Analysis of Stem Cell Dynamics in Acute Myeloid Leukemia: Towards Precision Medicine Strategies”, Int. J. of Science and Research, 13(05), 528-535, (2024).
Malik, M. Z., Kumar, R., Shah, S. R., “Effects of (Un)lockdown on COVID-19 transmission: A mathematical study of different phases in India, medRxiv The preprint server for health science, 1-13, (2020), doi: https://doi.org/10.1101/2020.08.19.20177840.
Sadique, Mo., Shah, S. R., “Mathematical model to study the effect of PRG4, hyaluronic acid and lubricin on squeeze film characteristics of diseased synovial joint”, International Journal of Mechanical Engineering, 7 (6), 832-848, (2022). https://www.kalaharijournals.com/resources/JUNE- 94.pdf.
Sadique, Mo., Shah, S. R., “Mathematical model to study the study the squeeze film characteristics of synovial joints in diseased human knee joint”, World Scientific Annual Review of Biomechanics, 1 (2330004) 1-21, (2023). https://doi.org/10.1142/S2810958923300044.
Sadique, Mo., Shah, S. R., “Mathematical study for the synovial fluid flow in Osteoarthritic knee joint”, Journal of Engineering and Applied Sciences, 17(2),15-21, (2022). https://medwelljournals.com/abstract/?doi=jeasci.2022. 15.21.
Sardar, M.N. Islam, Shabab, A., Shah, S. R., “Aqueous Humor Flow in the Schlemm's Canal via Rectangular Channel: Mathematical Modeling for Analytical Results, Numerical Experiments, and Implications for Treatments (Chapter)” Advances on Mathematical Modeling and Optimization with Its Applications, Edition 1st Edition, First Published, Imprint CRC Press, Pages 10, eBook ISBN 9781003387459, (2024). DOI:10.1201/9781003387459-5.
Sardar, S. K., Sharma, M. N. Islam, Sadique, Mo., Shah,
S. R., “Effect of Significant Parameters on Squeeze Film Characteristics in Pathological Synovial Joints”, Mathematics (MDPI), 11 (1468) 1-23, (2023). https://doi.org/10.3390/math11061468.
Shabab A., Shah, S. R., Mathematical Analysis of Stem Cell Dynamics in Acute Myeloid Leukemia: Towards Precision Medicine Strategies”, J. of Current Medical Research and Opinion, 07 (04),2216-2225, (2024).
Shabab, A., Shah, S. R., “Mathematical Modeling of Blood Flow Dynamics in the Cardiovascular System: Assumptions, Considerations, and Simulation Results”, Journal of Current Medical Research and Opinion, 7(4), 2216-2225, (2024).
Shabab, A., Shah, S. R., “The Effects of Prostaglandin Analogs on Intraocular Pressure (IOP) in Human Eye for Open Angle Glaucoma. Int. J. of Innovative Technology and Exploring Eng., 10 (2), 176-180, (2020).
Shabab, A., Shah, S. R., Alshehri, Mo Sharma, S. K., Gupta P., A Mathematical Study for Promoting Disability Inclusion in Glaucoma: A Comprehensive Approach, Journal of Disability Research 3,1-12(2024).
Shah, S. R., “A biomechanical approach for the study of deformation of red cells in narrow capillaries”, IJE: Transaction A: Basics, 25(4), 303-313, (2012).
Shah, S. R., “A case study of non-Newtonian viscosity of blood through artherosclerotic artery”, Asian Journal of Engineering and Applied Technology, 1(1), 47-52, (2012).
Shah, S. R., “A Mathematical Model for the analysis of blood flow through diseased blood vessels under the influence of porous parameter”, Journal of Biosciences and Technology, 4(6), 534-541, (2013).
Shah, S. R., “A mathematical study of blood flow through radially non-symmetric multiple stenosed arteries under the influence of magnetic field”, Int. J. of Advanced Research in Biological Sci, 2 (12), 379-386, (2015)
Shah, S. R., “A mathematical study of blood flow through stenosed artery”, International Journal of Universal Science and Engineering, 1(1), 26-37, (2015).
Shah, S. R., “A study of blood flow through multiple atherosclerotic arteries”, International Journal for Mathematics, 1, (12),1-6, (2015).
Shah, S. R., “A study of effects of magnetic field on modified Power-law fluid in modeled stenosed artery” Journal of Bioscience and Technology, 1 (4),187-196, (2010).
Shah, S. R., “An innovative solution for the problem of blood flow through stenosed artery using generalized bingham plastic fluid model”, Int. J. of research in applied and natural social sciences, 1(3), 97-140, (2013).
Shah, S. R., “An innovative study for non-Newtonian behavior of blood flow in stenosed artery using Herschel-Bulkely flud”, Int. J. of biosiences and biotechnology, 5(5), 233-240, (2013). 10.14257/ijbsbt.2013.5.5.24.
Shah, S. R., “Capillary-tissue diffusion phenomena for blood flow through a stenosed artery using herschel- bulkley fluid” International journal of research in Biochemistry and Biophysics, 1 (1),1-8 (2011).
Shah, S. R., “Effect of clopidogrel on blood flow through stenosed artery under diseased condition”, International Journal of Experimental Pharmacology, 4(1),887-893, (2014).
Shah, S. R., “Effects of Acetylsalicylic Acid on blood flow through an artery under Atherosclerotic condition”, International Journal of Molecular medicine and advances sciences, 7 (6), 19-24, (2011). 10.3923/ijmmas.2011.19.24.
Shah, S. R., “Effects of antiplatelet drugs on blood flow through stenosed blood vessels”, Journal of Biomimetics, Biomaterials and Tissue Engineering, 18, 21-27, (2013).
https://doi.org/10.4028/www.scientific.net/JBBTE.18. 21.
Shah, S. R., “Impact of radially non-symmetric multiple stenoses on blood flow through an artery”, International Journal of Physical and Social Sciences, 1 (3), 1-16, (2011).
Shah, S. R., “Mathematical analysis of blood flow through atherosclerotic arterial segment having non- symmetric mild stenosis”. International Journal of Research in Pure and Applied Physics, 1,1-5, (2011).
Shah, S. R., “Mathematical Study of Blood Flow through Atherosclerotic Artery in the Presence of Porous Effect”, International Journal of Modern Sciences and Engineering Technology, 2, (12), 12-20, (2015).
Shah, S. R., “Non-Newtonian flow of blood through an atherosclerotic artery”, Research journal of applied sciences. 6 (1), 76-80, (2011). 10.3923/rjasci.2011.76.80.
Shah, S. R., “Performance modeling and analysis of magnetic field on nutritional transport capillary tissue system using modified Herschel-Bulkely fluid Int. J. of Advanced research in physical Sci. 1(1)33-41, (2014).
Shah, S. R., “Performance Study on Capillary-Tissue Diffusion Phenomena for Blood Flow through Stenosed Blood Vessels”, American journal of pharmatech research, 2(2), 695-705, (2012).
Shah, S. R., “Response of blood flow through an atherosclerotic artery in the presence of magnetic field using Bingham plastic fluid” Int. J. of Pharmaceutical and Biomedical Research, 2(3), 96-106, (2011).
Shah, S. R., “Role of Non-Newtonian behavior in blood flow through normal and stenosed artery”, Research journal of Biological sciences, 6(9), 453-458, (2011).
Shah, S. R., “Significance of Aspirin on Blood Flow to Prevent Blood Clotting through Inclined Multi- Stenosed Artery”, Letters In Health and Biological Sciences, 2(2), 97-100, (2017). DOI:10.15436/2475- 6245.17.018.
Shah, S. R., “Study of dispersion of drug in blood flow with the impact of chemical reaction through stenosed artery”, Int. J. of Biosciences, 21 (3), 21-29, (2022). http://dx.doi.org/10.12692/ijb/21.3.199-208.
Shah, S. R., “Study of modified Casson’s fluid model in modeled normal and stenotic capillary-tissue diffusion phenomena” International journal of computational engineering & management, 11, 51-57, (2011).
Kumar, R., Shah, S. R., “Study of blood flow with suspension of nanoparticles through tapered stenosed artery”, Global Journal of Pure and Applied Mathematics, 13(10), 7387-7399, (2017).
Siddiqui S. U., Shah, S. R., "A Physiologic Model for the problem of blood flow through Diseases blood vessels", International journal of advances in Applied Sciences, 5(2), 58-64, (2016). DOI:10.11591/ijaas.v5.i2.pp58-64.
Shah, S. R.,“A biomechanical approach for the study of Two-phase blood flow through stenosed artery”, International Journal of research studies in biosciences, 1(2),24-32, (2013).
Shah, S.R., “Clinical influence of hydroxychloroquine with azithromycin on blood flow through blood vessels for the prevention and Treatment of covid-19”, Int. J. of Bio., pharmacy and allied science, 10(7), 2195-2204, (2021).
Siddique, S. U., Shah, S. R., “Achievement of Pentoxifylline for Blood Flow through Stenosed Artery”, Journal of Biomimetics, Biomaterials and Tissue Engineering, 13 81-89, (2012). https://doi.org/10.4028/www.scientific.net/JBBTE.13. 81.
Siddiqui S. U., Sapna, Km., “Herschel-Bulkely fluid model for stenosis shape aspects of blood flow through an artery”, Ultra Science, International journal of physical sciences, 18 (3), 407-416, (2006).
Siddiqui, S. U., Shah, S. R., “A Comparative Study for the Non-Newtonian Behaviour of Blood Flow through Atherosclerotic Arterial Segment”, Int. J. of Pharmaceutical Sci. Review and Research, 9 (2) 120- 125, (2011).
Siddiqui, S. U., Shah, S. R., “Two-phase model for the study of blood flow through stenosed artery”, International Journal of Pharmacy and Biological Sciences, 1(3), 246-254, (2011).
Singh, A., Shah, S. R., Siddiqui S. U., “Effects of inclined multi-stenoses arteries on blood flow characteristics using bingham plastic fluid”, International Journal for Mathematics, 1, (12), 7-14, (2015).
Singh, A., Shah, S. R., Siddiqui S. U., “Mathematical Modeling and Numerical Simulation of Blood Flow through Tapered Artery”, International Journal of Innovative Science, Engineering & Technology, 3, (2), 710-717, (2016).
https://ijiset.com/vol3/v3s2/IJISET_V3_I2_97.pdf.
Singh, A., Shah, S. R., Siddiqui S. U., “Mathematical Modelling and Analysis of Blood Flow through Diseased Blood Vessels”, International Journal of Engineering and Management Research, 5, (6), 366- 372, (2015).
https://doi.org/10.3389/fnano.2020.596475.
Singh, A., Shah, S. R., Siddiqui S. U., “Performance of blood flow through two phase stenosed artery using Herschel-Bulkley model”, Int. J. of Applied And Pure Science and Agriculture, 2, (2), 228-240, (2016).
Singh, A., Siddiqui S. U., Shah, S. R., “A Mathematical Model to study the similarities of blood fluid models through inclined multi-stenosed artery”, International Journal of Engineering Research and Modern Eduacation, 2, (1), 108-115, (2017). https://core.ac.uk/download/pdf/144783771.pdf.
Singh, A., Siddiqui S. U., Shah, S. R., “Mathematical Modeling of peristaltic blood flow through a vertical blood vessel using prandtl fluid model”, Int. J. of Math. and Computer Research, 4, (9), 710-717, (2016).
Singh, S., “A two-layered model for the analysis of arterial rheology” International Journal of Computer Science and Information Technology, 4, 37-42. (2011).
Singh, S., “Analysis of non-newtonian fluid flow in a stenosed artery”, International journal of physical sciences, 4(11), 663-671, (2009). https://academicjournals.org/article/article1380630965
_Sapna.pdf
Singh, S., “Clinical significance of aspirin on blood flow through stenotic blood vessels” Journal of Biomimetics, Biomaterials and Tissue Engineering, 10 (17) 24-35, (2011). https://doi.org/10.4028/www.scientific.net/JBBTE.10. 17.
Singh, S., “Effects of shape of stenosis on arterial rheology under the influence of applied magnetic field” Int. J. of Biomedical Engineering and Technology, 6 (3), 286-294, (2011). DOI:10.1504/IJBET.2011.041466.
Singh, S., “Influence of magnetic field on blood flow through stenosed artery using casson’s fluid model”, International Journal of BioEngineering, CardioPulmonary Sciences and Technology, 1,1-7, (2010).
Singh, S., “Numerical modeling of two-layered micropolar fluid through a normal and stenosed artery”, International journal Engineering, 24 (2), 177-187, (2011). DOI: 10.5829/idosi.ije.2012.25.04a.02.
Singh, S., “Numerical modelling for the modified Power-law fluid in stenotic capillary-tissue diffusion phenomena, Archives of Applied Sci. Resaerch, An Int. peer reviewed J. of Appl. Sci., 2 (1), 104-112, (2010).
Singh, S., “The effect of Saline Water on viscosity of blood through stenosed blood vessels using Casson’s fluid model”, Journal of Biomimetics, Biomaterials and Tissue Engineering, 9, 37-45, (2011). https://doi.org/10.4028/www.scientific.net/JBBTE.9.3 7.
Singh, S., and Shah, R. R., “A numerical model for the effect of stenosis shape on blood flow through an artery using power-law fluid, Advance in applied Sci. research, An Int peer reviewed J of Sci,1, 66-73 (2010).
Thomas, S., Kumar, R., Shah, S. R., “Understanding the impact of feedback regulations on blood cell production and leukemia dynamics using model analysis and simulation of clinically relevant scenarios”, Applied Mathematical Modelling, (2024). https://doi.org/10.1016/j.apm.2024.01.048.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Rose Laub Coser

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.