Library Subscription: Guest
Journal of Porous Media

Published 12 issues per year

ISSN Print: 1091-028X

ISSN Online: 1934-0508

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 2.3 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.7 The Immediacy Index is the average number of times an article is cited in the year it is published. The journal Immediacy Index indicates how quickly articles in a journal are cited. Immediacy Index: 1 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.00067 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.47 SJR: 0.282 SNIP: 0.632 CiteScore™:: 3 H-Index: 42

Indexed in

Gain Access(open in a new tab)
More
Purchase $35.00(open in a new tab) Check subscription Download MARC record(open in a new tab) Get Permissions(open in a new tab)

ION-INDUCED DEFORMATION OF ARTICULAR CARTILAGE WITH STRAIN-DEPENDENT NONLINEAR PERMEABILITY AND MHD EFFECTS

Volume 25, Issue 1, 2022, pp. 1-14
DOI: 10.1615/JPorMedia.2021025605
Submitted: Feb 03 2018 Accepted: Jun 27 2018 Published online: Aug 26 2021
Get accessGet access
Javed I. Siddique
Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan; Department of Mathematics, Penn State University-York Campus, York, PA 17403-3326, USA
Aftab Ahmed (Corresponding author 680aftab@gmail.com)
Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan

ABSTRACT

The aim of the present work is to examine the effects of applied magnetic field and strain-dependent nonlinear permeability on the deformation of articular cartilage equilibrated in a sodium chloride solution. A thin rectangular specimen of bovine cartilage is considered that is assumed to be an isotropic and linearly elastic solid. A biphasic mixture theory approach has been employed to model the nonlinear deformable porous medium in the presence of a change in the ion concentration of the bathing solution. Analytical and numerical solutions for the solid displacement and fluid pressure profiles are presented highlighting effects of various emerging parameters along with a discussion on the ion concentration distribution in the tissue.

KEY WORDS: articular cartilage, magnetic field, ion concentration, mixture theory, solid deformation, method of lines
REFERENCES

  1. Ahmed, A. and Siddique, J.I., The Effect of Magnetic Field on Flow Induced-Deformation in Absorbing Porous Tissues, Math. Biosci. Eng., vol. 16, no. 2, pp. 603-618,2019. .

  2. Ahmed, A., Siddique, J.I., and Mahmood, A., Non-Newtonian Flow-Induced Deformation from Pressurized Cavities in Absorbing Porous Tissues, Comput. Methods Biomech. Biomed. Eng., vol. 20, no. 13, pp. 1464-1473,2017. .

  3. Ali, U. and Siddique, J.I., Visco-Elastic Behavior of Articular Cartilage under Applied Magnetic Field and Strain-Dependent Permeability, Comput. Methods Biomech. Biomed. Eng., vol. 23, no. 9, pp. 524-535, 2020. .

  4. Atkin, R.J. and Craine, R.E., Continuum Theories of Mixtures: Basic Theory and Historical Development, Quart. J. Mech. Appl. Math, vol. 29, no. 2, pp. 209-244, 1976. .

  5. Bansal, H.L. and Bansal, R.S., Magneto Therapy: Self-Help Book, New Delhi: Jain Publisher, Chapter 4, pp. 125-155,1998. .

  6. Barry, S.I. and Aldis, G.K., Unsteady Flow Induced Deformation of Porous Materials, Int. J. Non-Linear Mech, vol. 26, no. 5, pp. 687-699, 1991. .

  7. Barry, S.I. and Aldis, G.K., Flow-Induced Deformation from Pressurized Cavities in Absorbing Porous Tissues, Bull. Math. Biol, vol. 54, no. 6, pp. 977-997, 1992. .

  8. Bernardi, D., Pawlikowski, E., and Newman, J., A General Energy Balance for Battery Systems, J. Electrochem. Soc., vol. 132, no. 1,pp. 5-12,1985. .

  9. Bodine, A.J., Brown, N., Hayes, W.C., and Jiminez, S.A., The Effect of Sodium Chloride on the Shear Modulus of Articular Cartilage, Trans. Ortho. Res. Soc, vol. 5, pp. 1-37,1980. .

  10. Bowen, R.M., Incompressible Porous Media Models by Use of the Theory of Mixtures, Int. J. Eng. Sci., vol. 18, no. 9, pp. 1129-1148,1980. .

  11. Bujurke, N. and Kudenatti, R.B., Multigrid Solution of Modified Reynolds Equation Incorporating Poroelasticity and Couple Stresses, J. Porous Media, vol. 10, no. 2, pp. 125-136, 2007. .

  12. Eisenberg, S.R. and Grodzinsky, A.J., The Kinetics of Chemically Induced Non-Equilibrium Swelling of Articular Cartilage and Corneal Stroma, J. Biomech. Eng., vol. 109, no. 1, pp. 79-89, 1987. .

  13. Eldabe, N.T.M., Saddeek, G., and Elagamy, K., Magnetohydrodynamic Flow of a Bi-Viscosity Fluid through Porous Medium in a Layer of Deformable Material, J. Porous Media, vol. 14, no. 3, pp. 273-283, 2011. .

  14. Elmore, S.M., Sokoloff, L., Norris, G., and Carmeci, P., Nature of "Imperfect" Elasticity of Articular Cartilage, J. Appl. Physiol, vol. 18, no. 2, pp. 393-396, 1963. .

  15. Holmes, M.H., Finite Deformation of Soft Tissue: Analysis of a Mixture Model in Uni-Axial Compression, J. Biomech. Eng., vol. 108, no. 4, pp. 372-381, 1986. .

  16. Hunter, W., Of the Structure and Diseases of Articulating Cartilages, by William Hunter, Surgeon, Philo. Trans., vol. 42, no. 462, pp. 514-521, 1742. .

  17. Kenyon, D.E., A Mathematical Model of Water Flux through Aortic Tissue, Bull. Math. Biol., vol. 41, no. 1, pp. 79-90, 1979. .

  18. Klanchar, M. and Tarbell, J.M., Modeling Water Flow through Arterial Tissue, Bull. Math. Biol., vol. 49, no. 6, pp. 651-669, 1987. .

  19. Klawitter, J.J., Bagwell, J.G., Weinstein, A.M., Sauer, B.W., and Pruitt, J.R., An Evaluation of Bone Growth into Porous High Density Polyethylene, J. Biomed. Mat. Res., vol. 10, no. 2, pp. 311-323, 1976. .

  20. Kwan, M.K., Lai, W.M., and Mow, V.C., A Finite Deformation Theory for Cartilage and Other Soft Hydrated Connective Tissues-I. Equilibrium Results, J. Biomech., vol. 23, no. 2, pp. 145-155, 1990. .

  21. Lai, W.M., Hou, J.S., and Mow, V.C., A Triphasic Theory for the Swelling and Deformation Behaviors of Articular Cartilage, J. Biomech. Eng., vol. 113, no. 3, pp. 245-258, 1991. .

  22. Lai, W.M. and Mow, V.C., Drag-Induced Compression of Articular Cartilage during a Permeation Experiment, Biorheology, vol. 17, no. 1,pp. 111-123, 1980. .

  23. Maroudas, A., Biophysical Chemistry ofCartilaginous Tissues with Special Reference to Solute and Fluid Transport, Biorheology, vol. 12, no. 3, pp. 233-248, 1975. .

  24. Mow, V.C. and Mansour, J.M., The Nonlinear Interaction between Cartilage Deformation and Interstitial Fluid Flow, J. Biomech, vol. 10, no. 1,pp. 31-39,1977. .

  25. Mow, V.C. and Lai, W.M., Mechanics of Animal Joints, Ann. Rev. Fluid Mech., vol. 11, no. 1, pp. 247-288,1979. .

  26. Mow, V.C. and Lai, W.M., Recent Developments in Synovial Joint Biomechanics, SIAMRev., vol. 22, no. 3, pp. 275-317,1980. .

  27. Mow, V.C. and Roth, V., Effects of Nonlinear Strain-Dependent Permeability and Rate of Compression on the Stress Behavior of Articular Cartilage, J. Biomech. Eng., vol. 103, no. 2, pp. 61-66, 1981. .

  28. Mow, V.C., Kuei, S.C., Lai, W.M., and Armstrong, C.G., Biphasic Creep and Stress Relaxation of Articular Cartilage in Compression: Theory and Experiments, J. Biomech. Eng., vol. 102, no. 1, pp. 73-84, 1980. .

  29. Mow, V.C., Holmes, M.H., and Lai, W.M., Fluid Transport and Mechanical Properties of Articular Cartilage: A Review, J. Biomech, vol. 17, no. 5, pp. 377-394, 1984. .

  30. Murthy, M.K., MHD Poiseuille Flow of Jeffrey Fluid over a Deformable Porous Layer, Chem. Process Eng. Res, vol. 38, no. 1, pp. 8-24,2015. .

  31. Myers, E.R., Lai, W.M., and Mow, V.C., A Continuum Theory and an Experiment for the Ion-Induced Swelling Behavior of Articular Cartilage, J. Biomech. Eng., vol. 106, no. 2, pp. 151-158,1984. .

  32. Myers, T.G., Aldis, G.K., and Naili, S., Ion Induced Deformation of Soft Tissue, Bull. Math. Biol, vol. 57, no. 1, pp. 77-98, 1995. .

  33. Naseem, A., Mahmood, A., Siddique, J.I., and Zhao, L., Infiltration of MHD Liquid into a Deformable Porous Material, Results Phys, vol. 8, no. 1, pp. 71-75, 2018. .

  34. Oomens, C.W. J., van Campen, D.H., and Grootenboer, H.J., A Mixture Approach to the Mechanics of Skin, J. Biomech., vol. 20, no. 9, pp. 877-885, 1987. .

  35. Pilliar, R.M., Cameron, H.U., and Macnab, I., Porous Surface Layered Prosthetic Devices, Biomed. Eng., vol. 10, no. 4, pp. 126-131, 1975. .

  36. Schiesser, W.E. and Griffiths, G.W., A Compendium of Partial Differential Equation Models: Method of Lines Analysis with Matlab, New York: Cambridge University Press, Chapter 1, pp. 1-18,2009. .

  37. Siddique, J.I. and Anderson, D.M., Capillary Rise of a Non-Newtonian Liquid into a Deformable Porous Material, J. Porous Media, vol. 14, no. 12, pp. 1087-1102,2011. .

  38. Siddique, J.I. and Kara, A., Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous Material, J. Appl. Fluid Mech., vol. 9, no. 6, pp. 2837-2843,2016. .

  39. Siddique, J.I., Ahmed, A., Aziz, A., and Khalique, C.M., A Review of Mixture Theory for Deformable Porous Media and Applications, Appl. Sci., vol. 7, no. 9, pp. 917-931, 2017. .

  40. Siddique, J.I., Raja, U.A., and Ahmed, A., Effects of Magnetic Field on Porosity and Solid Deformation for Radial Fluid Flow through Deformable Porous Shells, Comput. Math. Appl., vol. 80, no. 5, pp. 1104-1116,2020. .

  41. Sreenadh, S., Prasad, K.V., Vaidya, H., Sudhakara, E., Krishna, G.G., and Krishnamurthy, M., MHD Couette Flow of a Jeffrey Fluid over a Deformable Porous Layer, Int. J. Appl. Comput. Math, vol. 3, no. 3, pp. 2125-2138, 2017. .

  42. Tandon, P.N., Chaurasia, A., Jain, V.K., and Gupta, T., Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous Material, Comput. Math. Appl., vol. 22, no. 12, pp. 33-45,1991. .

  43. Truesdell, C., Sulle Basi Della Termomeccanica, Rend. Lincei, vol. 22, no. 8, pp. 33-38, 1957. .

  44. White, R.E. and Subramanian, V.R., Computational Methods in Chemical Engineering with Maple, Berlin: Springer Science & Business Media, Chapter 5, pp. 353-505, 2010. .

  45. Zahn, M. and Shenton, K., Magnetic Fluids Bibliography, IEEE Trans. Magnet, vol. 16, no. 2, pp. 387-415, 1980. .

1181 Article views 20 Article downloads Metrics
1181 VIEWS 20 DOWNLOADS Google
Scholar CITATIONS

Articles with similar content:

MAGNETOHYDRODYNAMIC FLOWOF A BI-VISCOSITY FLUID THROUGH POROUS MEDIUM IN A LAYER OF DEFORMABLE MATERIAL Journal of Porous Media, Vol.14, 2011, issue 3
Nabil T. M. Eldabe, Khaled Elagamy, Gamal Saddeek
Ion-Induced Swelling Behavior of Articular Cartilage due to Non-Newtonian Flow and Its Effects on Fluid Pressure and Solid Displacement Critical Reviews™ in Biomedical Engineering, Vol.52, 2024, issue 4
Aftab Ahmed, Usman Ali, J. I. Siddique, Umair Farooq
THEORETICAL MODEL OF MICROMOLD FILLING BY NANOPARTICULATE SLURRIES International Heat Transfer Conference 13, Vol.0, 2006, issue
Ranga Pitchumani, Andryas Mawardi, Y. Xiao
PROPAGATION OF WAVESINA LAYER OF TRANSVERSELY ISOTROPIC ELASTIC MATERIAL WITH VOIDS AND ROTATIONOVERLAYING AN ISOTROPIC ELASTIC HALF-SPACE Special Topics & Reviews in Porous Media: An International Journal, Vol.1, 2010, issue 2
Rajeev Kumar, Rajneesh Kumar
ANALYSIS OF REALISTIC PLANE STRAIN CONSOLIDATION INDUCED BY SURFACE LOADING WITHIN A FINITE RECTANGULAR REGION Special Topics & Reviews in Porous Media: An International Journal, Vol.11, 2020, issue 4
Peichao Li, Keyong Wang

Latest Issue

EFFECT OF MICROSTRUCTURES ON MASS TRANSFER INSIDE A HIERARCHICALLY STRUCTURED POROUS CATALYST Masood Moghaddam, Abbas Abbassi, Jafar Ghazanfarian SUTTERBY NANOFLUID FLOW WITH MICROORGANISMS AROUND A CURVED EXPANDING SURFACE THROUGH A POROUS MEDIUM: THERMAL DIFFUSION AND DIFFUSION THERMO IMPACTS Galal M. Moatimid, Mona A. A. Mohamed, Khaled Elagamy

Forthcoming Articles

EXPERIMENTAL AND THEORETICAL STUDY OF DRYING OF POROUS BIOFUEL MIXTURE Yury Snezhkin, Andrii Avramenko , Zhanna Petrova, Andrii Tyrinov, Anton Petrov , Yuliia Novikova Dissolution-driven convection in an inclined porous medium with first order chemical reaction G. Shiva Kumar Reddy, Ravi Ragoju, Anjanna Matta, N. Keerthi Reddy, Dhananjay Yadav Impacts of using porous corner partitions and blade shaped nanoparticles in base fluid on the performance improvement of TEG mounted vented cavities and interface temperature estimation with POD Fatih Selimefendigil, Hakan Öztop Study on Adsorption-desorption Characteristics and Mechanism of Gaseous Water in Shale Na Zhang, Shuaidong Wang, Xinyue Wang, Hao Wang, Can Huang, Zheng Li Heat And Mass Transfer of Oldroyd-B And Jeffery-Williamson Ternary-Hybrid Nanofluids Over A Stretching Sheet In A Porous Medium Ahmed M. Rashad, Hossam Nabwey, Waqar A. Khan, Zeinab Abdelrahman, shereen abdelnaiem, Miad Abu Hawsah Steady Newtonian fluid flow in nephritis with linear dripping at the walls Nosheen Zareen Khan, A. M Siddiqui, Mostafa Zahri Effects of Momentum Slip and Convective Boundary Condition on a Forced Convection in a Channel Filled with Bidisperse Porous Medium (BDPM) Vanengmawia PC, Surender Ontela ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM Pushap Sharma, Deepak Bains, G. C. Rana Numerical Simulation of 3D Darcy-Forchheimer Hybrid Nanofluid Flow with Heat Source/Sink and Partial Slip Effect across a Spinning Disc Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas Pore structure and permeability behavior of porous media under in-situ stress and pore pressure: Discrete element method simulation on digital core Jun Yao, Chunqi Wang, Xiaoyu Wang, Zhaoqin Huang, Fugui Liu, Quan Xu, Yongfei Yang Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure Yi Man, Mostafa Barzegar Gerdroodbary CHARACTERISTICS OF FLOW REGIMES IN SPIRAL PACKED BEDS WITH SPHERES Mustafa Yasin Gökaslan, Mustafa Özdemir, Lütfullah Kuddusi Numerical study of the influence of magnetic field and throughflow on the onset of thermo-bio-convection in a Forchheimer‑extended Darcy-Brinkman porous nanofluid layer containing gyrotactic microorganisms Arpan Garg, Y.D. Sharma, Subit K. Jain, Sanjalee Maheshwari A nanofluid couple stress flow due to porous stretching and shrinking sheet with heat transfer A. B. Vishalakshi, U.S. Mahabaleshwar, V. Anitha, Dia Zeidan ROTATING WAVY CYLINDER ON BIOCONVECTION FLOW OF NANOENCAPSULATED PHASE CHANGE MATERIALS IN A FINNED CIRCULAR CYLINDER Noura Alsedais, Sang-Wook Lee, Abdelraheem Aly Porosity Impacts on MHD Casson Fluid past a Shrinking Cylinder with Suction Annuri Shobha, Murugan Mageswari, Aisha M. Alqahtani, Asokan Arulmozhi, Manyala Gangadhar Rao, Sudar Mozhi K, Ilyas Khan CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM Shyamala Sakthivel , Pankaj Shukla, Selvi Ramasamy
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections Prices and Subscription Policies Begell House Contact Us Language English 中文 Русский Português German French Spain