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Year 2024, Volume: 4 Issue: 4, 416 - 447, 30.12.2024
https://doi.org/10.53391/mmnsa.1536174

Abstract

References

  • [1] Lozano, J.N.J. Peristaltic Flow with Application to Ureteral Biomechanics. Ph.D Thesis, Department of Aerospace and Mechanical Engineering, University of Notre Dame, (2009).
  • [2] Kiil, F. Urinary flow and ureteral peristalsis. In, Urodynamics Upper and Lower Urinary Tract (pp. 7-70). Heidelberg, Germany: Springer, (1973).
  • [3] Vahidi, B., Fatouraee, N., Imanparast, A. and Moghadam, A.N. A mathematical simulation of the ureter: effects of the model parameters on ureteral pressure/flow relations. Journal of Biomechanical Engineering, 133(3), 031004, (2011).
  • [4] Srivastava, L.M. and Srivastava, V.P. Peristaltic transport of a particle-fluid suspension. Journal of Biomechanical Engineering, 111(2), 157-165, (1989).
  • [5] Kamel, M.H., Eldesoky, I.M., Maher, B.M. and Abumandour, R.M. Slip effects on peristaltic transport of a particle-fluid suspension in a planar channel. Applied Bionics and Biomechanics, 2015(1), 703574, (2015).
  • [6] Ramesh, K., Tripathi, D., Bég, O.A. and Kadir, A. Slip and hall current effects on Jeffrey fluid suspension flow in a peristaltic hydromagnetic blood micropump. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 43, 675-692, (2019).
  • [7] Misra, J.C. and Pandey, S.K. Peristaltic transport of a particle-fluid suspension in a cylindrical tube. Computers & Mathematics with Applications, 28(4), 131-145, (1994).
  • [8] Mohd Kasim, A.R., Arifin, N.S., Mohd Zokri, S., Salleh, M.Z., Mohammad, N.F., Chuan Ching, D.L. et al. Convective transport of fluid–solid interaction: A study between non-Newtonian Casson model with dust particles. Crystals, 10(9), 814, (2020).
  • [9] Maraj, E.N., Shah, S.I., Akbar, N.S. and Muhammad, T. Thermally progressive ParticleCu/Blood peristaltic transport with mass transfer in a Non-Uniform Wavy Channel: Closed-form exact solutions. Alexandria Engineering Journal, 74, 453-466, (2023).
  • [10] Riaz, A. and Sadiq, M.A. Particle–fluid suspension of a non-Newtonian fluid through a curved passage: an application of urinary tract infections. Frontiers in Physics, 8, 109, (2020).
  • [11] Hayat, T., Asghar, S., Tanveer, A. and Alsaedi, A. Chemical reaction in peristaltic motion of MHD couple stress fluid in channel with Soret and Dufour effects. Results in Physics, 10, 69-80, (2018).
  • [12] Zhang, L., Bhatti, M.M. and Michaelides, E.E. Thermally developed coupled stress particle–fluid motion with mass transfer and peristalsis. Journal of Thermal Analysis and Calorimetry, 143, 2515-2524, (2021).
  • [13] Bhatti, M.M., Zeeshan, A., Ijaz, N., Bég, O.A. and Kadir, A. Mathematical modelling of nonlinear thermal radiation effects on EMHD peristaltic pumping of viscoelastic dusty fluid through a porous medium duct. Engineering Science and Technology, An International Journal, 20(3), 1129-1139, (2017).
  • [14] Bhatti, M.M., Zeeshan, A., Asif, M.A., Ellahi, R. and Sait, S.M. Non-uniform pumping flow model for the couple stress particle-fluid under magnetic effects. Chemical Engineering Communications, 209(8), 1058-1069, (2022).
  • [15] Kaimal, M.R. Peristaltic pumping of a Newtonian fluid with particles suspended in it at low Reynolds number under long wavelength approximations. Journal of Applied Mechanics, 45(1), 32-36, (1978).
  • [16] Sankad, G.C. and Nagathan, P.S. Transport of MHD couple stress fluid through peristalsis in a porous medium under the influence of heat transfer and slip effects. International Journal of Applied Mechanics and Engineering, 22(2), 403-414, (2017).
  • [17] Ramesh, K., Tripathi, D., Bhatti, M.M. and Khalique, C.M. Electro-osmotic flow of hydromagnetic dusty viscoelastic fluids in a microchannel propagated by peristalsis. Journal of Molecular Liquids, 314, 113568, (2020).
  • [18] Hayat, T., Ayub, S., Alsaedi, A., Tanveer, A. and Ahmad, B. Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s law. Results in Physics, 7, 762-768, (2017).
  • [19] Prakash, J., Siva, E.P., Balaji, N. and Kothandapani, M. Effect of peristaltic flow of a third grade fluid in a tapered asymmetric channel. In Proceedings, National Conference on Mathematical Techniques and its Applications (NCMTA), pp. 1-22, Kattankulathur, India, (2018, January).
  • [20] Deepalakshmi, P., Siva, E.P., Tripathi, D., Bég, O.A. and Kuharat, S. MHD peristaltic twophase Williamson fluid flow, heat and mass transfer through a ureteral tube with microliths: Electromagnetic therapy simulation. Numerical Heat Transfer, Part A: Applications, 1-24, (2024).
  • [21] Mernone, A.V., Mazumdar, J.N. and Lucas, S.K. A mathematical study of peristaltic transport of a Casson fluid. Mathematical and Computer Modelling, 35(7-8), 895-912, (2002).
  • [22] Bhatti, M.M., Zeeshan, A., Tripathi, D. and Ellahi, R. Thermally developed peristaltic propulsion of magnetic solid particles in biorheological fluids. Indian Journal of Physics, 92, 423-430, (2018).
  • [23] Eldabe, N.T., Abouzeid, M.Y. and Ali, H.A. Effect of heat and mass transfer on Casson fluid flow between two co-axial tubes with peristalsis. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 76(1), 54-75, (2020).
  • [24] Mekheimer, K.S., El Shehawey, E.F. and Elaw, A.M. Peristaltic motion of a particle-fluid suspension in a planar channel. International Journal of Theoretical Physics, 37, 2895-2920, (1998).
  • [25] Imran, N., Javed, M., Qayyum, M., Sohail, M. and Kashif, M. Heat transfer analysis for particle–fluid suspension thermomagnetohydrodynamic peristaltic flow with Darcy–Forchheimer medium. Heat Transfer, 50(4), 3547-3563, (2021).
  • [26] Kothandapani, M. and Srinivas, S. Non-linear peristaltic transport of a Newtonian fluid in an inclined asymmetric channel through a porous medium. Physics Letters A, 372(8), 1265-1276, (2008).
  • [27] Prakash, J., Siva, E.P., Tripathi, D. and Bég, O.A. Thermal slip and radiative heat transfer effects on electro-osmotic magnetonanoliquid peristaltic propulsion through a microchannel. Heat Transfer—Asian Research, 48(7), 2882-2908, (2019).
  • [28] Kothandapani, M. and Prakash, J. Influence of thermal radiation and magnetic field on peristaltic transport of a Newtonian nanofluid in a tapered asymmetric porous channel. Journal of Nanofluids, 5(3), 363-374, (2016).
  • [29] Bhatti, M.M., Ellahi, R., Zeeshan, A., Marin, M. and Ijaz, N. Numerical study of heat transfer and Hall current impact on peristaltic propulsion of particle-fluid suspension with compliant wall properties. Modern Physics Letters B, 33(35), 1950439, (2019).
  • [30] Prakash, J., Siva, E.P., Tripathi, D. and Kothandapani, M. Nanofluids flow driven by peristaltic pumping in occurrence of magnetohydrodynamics and thermal radiation. Materials Science in Semiconductor Processing, 100, 290-300, (2019).
  • [31] Jiménez-Lozano, J., Sen, M. and Corona, E. Analysis of peristaltic two-phase flow with application to ureteral biomechanics. Acta Mechanica, 219, 91-109, (2011).
  • [32] Prakash, J., Tripathi, D., Akkurt, N. and Bég, O.A. Tangent hyperbolic non-Newtonian radiative bioconvection nanofluid flow from a bi-directional stretching surface with electromagneto-hydrodynamic, Joule heating and modified diffusion effects. The European Physical Journal Plus, 137, 472, (2022).
  • [33] Shankar, G. and Siva, E.P. A numerical investigation of thermal and mass exchange of blood along porous stenosis arterial flow with applied magnetic field. IAENG International Journal of Applied Mathematics, 54(3), 532-541, (2024).
  • [34] Deepalakshmi, P., Darvesh, A., Garalleh, H.A., Sánchez-Chero, M., Shankar, G. and Siva, E.P. Integrate mathematical modeling for heat dynamics in two-phase Casson fluid flow through renal tubes with variable wall properties. Ain Shams Engineering Journal, 16(1), 103183, (2025).
  • [35] Eroğlu, B.B.I. Two-dimensional Cattaneo-Hristov heat diffusion in the half-plane. Mathematical Modelling and Numerical Simulation with Applications, 3(3), 281-296, (2023).
  • [36] Loganathan, K., Thamaraikannan, N., Eswaramoorthi, S. and Jain, R. Entropy framework of the bioconvective Williamson nanofluid flow over a Riga plate with radiation, triple stratification and swimming microorganisms. International Journal of Thermofluids, 25, 101000, (2025).
  • [37] Sinan, M., Leng, J., Anjum, M. and Fiaz, M. Asymptotic behavior and semi-analytic solution of a novel compartmental biological model. Mathematical Modelling and Numerical Simulation with Applications, 2(2), 88-107, (2022).
  • [38] Srivastava, L.M. and Srivastava, V.P. Peristaltic transport of a particle-fluid suspension. Journal of Biomechanical Engineering, 111(2), 157-165, (1989).
  • [39] Hosham, H.A. and Hafez, N.M. Bifurcation phenomena in the peristaltic transport of nonNewtonian fluid with heat and mass transfer effects. Journal of Applied Mathematics and Computing, 67, 275-299, (2021).
  • [40] Shankar, G., Siva, E.P., Tripathi, D. and Beg, O. A. Thermal analysis in unsteady oscillatory Darcy blood flow through stenosed artery. International Journal of Thermofluids, 24, 100864, (2024).

Two-phase MHD peristaltic flow of non-Newtonian Casson fluid through the renal tube in the presence of microliths

Year 2024, Volume: 4 Issue: 4, 416 - 447, 30.12.2024
https://doi.org/10.53391/mmnsa.1536174

Abstract

The ureter regulates urine flow and has one to five peristaltic contractions per minute. Understanding this fluid dynamics is crucial for improving treatments, especially for chronic kidney disease (CKD). Investigating the peristaltic motion of a Casson fluid with suspended particles is essential for improving urological treatments and developing effective interventions. The core part of the article expresses the flow pattern of urine with debris in the urine stream which interrupt the flow within the ureter. The novelty of the current research lies in the simultaneous consideration of various factors that have not been previously explored in peristaltic urological transport. The results declare that the drag particulate suspension parameter $(\zeta)$ has a decelerating impact on the velocity of the particles while simultaneously accelerating the velocity of the fluid phase. Increased C leads to a notable decrease in the temperature of the fluid phase, while a rise in both the Eckert number (Ec) and Saffman suspension parameters $(\zeta)$ results in an inclination in temperature in the peristaltic regime. This research is relevant for conducting heat-dose sensitivity tests, which are essential for effective CKD treatment.

References

  • [1] Lozano, J.N.J. Peristaltic Flow with Application to Ureteral Biomechanics. Ph.D Thesis, Department of Aerospace and Mechanical Engineering, University of Notre Dame, (2009).
  • [2] Kiil, F. Urinary flow and ureteral peristalsis. In, Urodynamics Upper and Lower Urinary Tract (pp. 7-70). Heidelberg, Germany: Springer, (1973).
  • [3] Vahidi, B., Fatouraee, N., Imanparast, A. and Moghadam, A.N. A mathematical simulation of the ureter: effects of the model parameters on ureteral pressure/flow relations. Journal of Biomechanical Engineering, 133(3), 031004, (2011).
  • [4] Srivastava, L.M. and Srivastava, V.P. Peristaltic transport of a particle-fluid suspension. Journal of Biomechanical Engineering, 111(2), 157-165, (1989).
  • [5] Kamel, M.H., Eldesoky, I.M., Maher, B.M. and Abumandour, R.M. Slip effects on peristaltic transport of a particle-fluid suspension in a planar channel. Applied Bionics and Biomechanics, 2015(1), 703574, (2015).
  • [6] Ramesh, K., Tripathi, D., Bég, O.A. and Kadir, A. Slip and hall current effects on Jeffrey fluid suspension flow in a peristaltic hydromagnetic blood micropump. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 43, 675-692, (2019).
  • [7] Misra, J.C. and Pandey, S.K. Peristaltic transport of a particle-fluid suspension in a cylindrical tube. Computers & Mathematics with Applications, 28(4), 131-145, (1994).
  • [8] Mohd Kasim, A.R., Arifin, N.S., Mohd Zokri, S., Salleh, M.Z., Mohammad, N.F., Chuan Ching, D.L. et al. Convective transport of fluid–solid interaction: A study between non-Newtonian Casson model with dust particles. Crystals, 10(9), 814, (2020).
  • [9] Maraj, E.N., Shah, S.I., Akbar, N.S. and Muhammad, T. Thermally progressive ParticleCu/Blood peristaltic transport with mass transfer in a Non-Uniform Wavy Channel: Closed-form exact solutions. Alexandria Engineering Journal, 74, 453-466, (2023).
  • [10] Riaz, A. and Sadiq, M.A. Particle–fluid suspension of a non-Newtonian fluid through a curved passage: an application of urinary tract infections. Frontiers in Physics, 8, 109, (2020).
  • [11] Hayat, T., Asghar, S., Tanveer, A. and Alsaedi, A. Chemical reaction in peristaltic motion of MHD couple stress fluid in channel with Soret and Dufour effects. Results in Physics, 10, 69-80, (2018).
  • [12] Zhang, L., Bhatti, M.M. and Michaelides, E.E. Thermally developed coupled stress particle–fluid motion with mass transfer and peristalsis. Journal of Thermal Analysis and Calorimetry, 143, 2515-2524, (2021).
  • [13] Bhatti, M.M., Zeeshan, A., Ijaz, N., Bég, O.A. and Kadir, A. Mathematical modelling of nonlinear thermal radiation effects on EMHD peristaltic pumping of viscoelastic dusty fluid through a porous medium duct. Engineering Science and Technology, An International Journal, 20(3), 1129-1139, (2017).
  • [14] Bhatti, M.M., Zeeshan, A., Asif, M.A., Ellahi, R. and Sait, S.M. Non-uniform pumping flow model for the couple stress particle-fluid under magnetic effects. Chemical Engineering Communications, 209(8), 1058-1069, (2022).
  • [15] Kaimal, M.R. Peristaltic pumping of a Newtonian fluid with particles suspended in it at low Reynolds number under long wavelength approximations. Journal of Applied Mechanics, 45(1), 32-36, (1978).
  • [16] Sankad, G.C. and Nagathan, P.S. Transport of MHD couple stress fluid through peristalsis in a porous medium under the influence of heat transfer and slip effects. International Journal of Applied Mechanics and Engineering, 22(2), 403-414, (2017).
  • [17] Ramesh, K., Tripathi, D., Bhatti, M.M. and Khalique, C.M. Electro-osmotic flow of hydromagnetic dusty viscoelastic fluids in a microchannel propagated by peristalsis. Journal of Molecular Liquids, 314, 113568, (2020).
  • [18] Hayat, T., Ayub, S., Alsaedi, A., Tanveer, A. and Ahmad, B. Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s law. Results in Physics, 7, 762-768, (2017).
  • [19] Prakash, J., Siva, E.P., Balaji, N. and Kothandapani, M. Effect of peristaltic flow of a third grade fluid in a tapered asymmetric channel. In Proceedings, National Conference on Mathematical Techniques and its Applications (NCMTA), pp. 1-22, Kattankulathur, India, (2018, January).
  • [20] Deepalakshmi, P., Siva, E.P., Tripathi, D., Bég, O.A. and Kuharat, S. MHD peristaltic twophase Williamson fluid flow, heat and mass transfer through a ureteral tube with microliths: Electromagnetic therapy simulation. Numerical Heat Transfer, Part A: Applications, 1-24, (2024).
  • [21] Mernone, A.V., Mazumdar, J.N. and Lucas, S.K. A mathematical study of peristaltic transport of a Casson fluid. Mathematical and Computer Modelling, 35(7-8), 895-912, (2002).
  • [22] Bhatti, M.M., Zeeshan, A., Tripathi, D. and Ellahi, R. Thermally developed peristaltic propulsion of magnetic solid particles in biorheological fluids. Indian Journal of Physics, 92, 423-430, (2018).
  • [23] Eldabe, N.T., Abouzeid, M.Y. and Ali, H.A. Effect of heat and mass transfer on Casson fluid flow between two co-axial tubes with peristalsis. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 76(1), 54-75, (2020).
  • [24] Mekheimer, K.S., El Shehawey, E.F. and Elaw, A.M. Peristaltic motion of a particle-fluid suspension in a planar channel. International Journal of Theoretical Physics, 37, 2895-2920, (1998).
  • [25] Imran, N., Javed, M., Qayyum, M., Sohail, M. and Kashif, M. Heat transfer analysis for particle–fluid suspension thermomagnetohydrodynamic peristaltic flow with Darcy–Forchheimer medium. Heat Transfer, 50(4), 3547-3563, (2021).
  • [26] Kothandapani, M. and Srinivas, S. Non-linear peristaltic transport of a Newtonian fluid in an inclined asymmetric channel through a porous medium. Physics Letters A, 372(8), 1265-1276, (2008).
  • [27] Prakash, J., Siva, E.P., Tripathi, D. and Bég, O.A. Thermal slip and radiative heat transfer effects on electro-osmotic magnetonanoliquid peristaltic propulsion through a microchannel. Heat Transfer—Asian Research, 48(7), 2882-2908, (2019).
  • [28] Kothandapani, M. and Prakash, J. Influence of thermal radiation and magnetic field on peristaltic transport of a Newtonian nanofluid in a tapered asymmetric porous channel. Journal of Nanofluids, 5(3), 363-374, (2016).
  • [29] Bhatti, M.M., Ellahi, R., Zeeshan, A., Marin, M. and Ijaz, N. Numerical study of heat transfer and Hall current impact on peristaltic propulsion of particle-fluid suspension with compliant wall properties. Modern Physics Letters B, 33(35), 1950439, (2019).
  • [30] Prakash, J., Siva, E.P., Tripathi, D. and Kothandapani, M. Nanofluids flow driven by peristaltic pumping in occurrence of magnetohydrodynamics and thermal radiation. Materials Science in Semiconductor Processing, 100, 290-300, (2019).
  • [31] Jiménez-Lozano, J., Sen, M. and Corona, E. Analysis of peristaltic two-phase flow with application to ureteral biomechanics. Acta Mechanica, 219, 91-109, (2011).
  • [32] Prakash, J., Tripathi, D., Akkurt, N. and Bég, O.A. Tangent hyperbolic non-Newtonian radiative bioconvection nanofluid flow from a bi-directional stretching surface with electromagneto-hydrodynamic, Joule heating and modified diffusion effects. The European Physical Journal Plus, 137, 472, (2022).
  • [33] Shankar, G. and Siva, E.P. A numerical investigation of thermal and mass exchange of blood along porous stenosis arterial flow with applied magnetic field. IAENG International Journal of Applied Mathematics, 54(3), 532-541, (2024).
  • [34] Deepalakshmi, P., Darvesh, A., Garalleh, H.A., Sánchez-Chero, M., Shankar, G. and Siva, E.P. Integrate mathematical modeling for heat dynamics in two-phase Casson fluid flow through renal tubes with variable wall properties. Ain Shams Engineering Journal, 16(1), 103183, (2025).
  • [35] Eroğlu, B.B.I. Two-dimensional Cattaneo-Hristov heat diffusion in the half-plane. Mathematical Modelling and Numerical Simulation with Applications, 3(3), 281-296, (2023).
  • [36] Loganathan, K., Thamaraikannan, N., Eswaramoorthi, S. and Jain, R. Entropy framework of the bioconvective Williamson nanofluid flow over a Riga plate with radiation, triple stratification and swimming microorganisms. International Journal of Thermofluids, 25, 101000, (2025).
  • [37] Sinan, M., Leng, J., Anjum, M. and Fiaz, M. Asymptotic behavior and semi-analytic solution of a novel compartmental biological model. Mathematical Modelling and Numerical Simulation with Applications, 2(2), 88-107, (2022).
  • [38] Srivastava, L.M. and Srivastava, V.P. Peristaltic transport of a particle-fluid suspension. Journal of Biomechanical Engineering, 111(2), 157-165, (1989).
  • [39] Hosham, H.A. and Hafez, N.M. Bifurcation phenomena in the peristaltic transport of nonNewtonian fluid with heat and mass transfer effects. Journal of Applied Mathematics and Computing, 67, 275-299, (2021).
  • [40] Shankar, G., Siva, E.P., Tripathi, D. and Beg, O. A. Thermal analysis in unsteady oscillatory Darcy blood flow through stenosed artery. International Journal of Thermofluids, 24, 100864, (2024).
There are 40 citations in total.

Details

Primary Language English
Subjects Applied Mathematics (Other)
Journal Section Research Articles
Authors

P. Deepalakshmi This is me 0000-0001-9214-4949

E. P. Siva This is me 0000-0001-5663-1002

K. Loganathan 0000-0002-6435-2916

Publication Date December 30, 2024
Submission Date August 20, 2024
Acceptance Date November 7, 2024
Published in Issue Year 2024 Volume: 4 Issue: 4

Cite

APA Deepalakshmi, P., Siva, E. P., & Loganathan, K. (2024). Two-phase MHD peristaltic flow of non-Newtonian Casson fluid through the renal tube in the presence of microliths. Mathematical Modelling and Numerical Simulation With Applications, 4(4), 416-447. https://doi.org/10.53391/mmnsa.1536174


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