Thermofluidics and entropy analysis of couple stress Casson fluid in a channel with stretching walls

References

• Adamkowski, A. 2003. “Analysis of Transient Flow in Pipes with Expanding or Contracting Sections.” ASME Journal of Fluids Engineering 125 (4): 716–722. doi:10.1115/1.1593703.
   Web of Science ®Google Scholar
• Adesanya, S. O., and O. D. Makinde. 2015. “Effects of Couple Stresses on Entropy Generation Rate in a Porous Channel with Convective Heating.” Computational and Applied Mathematics 34: 293–307. doi:10.1007/s40314-014-0117-z.
   Web of Science ®Google Scholar
• Adesanya, S. O., H. A. Ogunseye, R. S. Lebelo, K. C. Moloi, and O. G. Adeyemi. 2018. “Second Law Analysis for Nonlinear Convective Flow of a Reactive Couple Stress Fluid Through a Vertical Channel.” Heliyon 4 (11): e00907. doi:10.1016/j.heliyon.2018.e00907.
   PubMed Web of Science ®Google Scholar
• Adhikary, S. D., and J. C. Misra. 2013. “Pulsating Flow of a Couple Stress Fluid in a Channel with Permeable Walls.” Forschung Im Ingenieurwesen/Engineering Research 77 (1–2): 49–57. doi:10.1007/s10010-013-0160-8.
   Web of Science ®Google Scholar
• Afridi, M. I., M. Qasim, and O. D. Makinde. 2019. “Entropy Generation Due to Heat and Mass Transfer in a Flow of Dissipative Elastic Fluid Through a Porous Medium.” Journal of Heat Transfer 141 (2): 022002. doi:10.1115/1.4041951.
   Web of Science ®Google Scholar
• Aksoy, Y. 2016. “Effects of Couple Stresses on the Heat Transfer and Entropy Generation Rates for a Flow Between Parallel Plates with Constant Heat Flux.” International Journal of Thermal Sciences 107: 1–12. doi:10.1016/j.ijthermalsci.2016.03.017.
   Web of Science ®Google Scholar
• Ali, N., S. U. Khan, M. Sajid, and Z. Abbas. 2016. “MHD Flow and Heat Transfer of Couple Stress Fluid Over an Oscillatory Stretching Sheet with Heat Source/Sink in Porous Medium.” Alexandria Engineering Journal 55 (2): 915–924. doi:10.1016/j.aej.2016.02.018.
   Web of Science ®Google Scholar
• Ali, A., D. K. Marwat, and S. A. Shah. 2019. “Viscous Flow in a Porous Channel with Stretching and Shrinking Walls.” UPB Scientific Bulletin Series A: Applied Mathematics and Physics 81 (1): 183–196.
   Google Scholar
• Asghar, S., M. Mushtaq, and T. Hayat. 2010. “Flow in a Slowly Deforming Channel with Weak Permeability: An Analytical Approach.” Nonlinear Analysis: Real World Applications 11: 555–561. doi:10.1016/j.nonrwa.2009.01.049.
   Web of Science ®Google Scholar
• Asghar, S., M. Mushtaq, and A. H. Kara. 2008. “Exact Solutions Using Symmetry Methods and Conservation Laws for the Viscous Flow Through Expanding-Contracting Channels.” Applied Mathematical Modelling 32: 2936–2940. doi:10.1016/j.apm.2007.10.006.
   Web of Science ®Google Scholar
• Ashraf, M., N. Jameel, and K. Ali. 2013. “MHD Non-Newtonian Micropolar Fluid Flow and Heat Transfer in Channel with Stretching Walls.” Applied Mathematics and Mechanics 34 (10): 1263–1276. doi:10.1007/s10483-013-1743-7.
   Google Scholar
• Bejan, A. 1980. “Second Law Analysis in Heat Transfer.” Energy 5 (8–9): 720–732. doi:10.1016/0360-5442(80)90091-2.
   Web of Science ®Google Scholar
• Bejan, A. 1996. Entropy Generation Minimization. New York: CRC Press.
   Google Scholar
• Bird, R. B., G. C. Dai, and B. J. Yarusso. 1983. “The Rheology and Flow of Viscoplastic Materials.” Reviews in Chemical Engineering 1: 1–70. doi:10.1515/revce-1983-0102.
   Google Scholar
• Boutros, Y. Z., M. B. Abd-el-Malek, N. A. Badran, and H. S. Hassan. 2007. “Lie-Group Method Solution for Two-Dimensional Viscous Flow Between Slowly Expanding or Contracting Walls with Weak Permeability.” Applied Mathematical Modelling 31: 1092–1108. doi:10.1016/j.apm.2006.03.026.
   Web of Science ®Google Scholar
• Bujurke, N. M., N. P. Pai, and G. Jayaraman. 1998. “Computer Extended Series Solution for Unsteady Flow in a Contracting or Expanding Pipe.” IMA Journal of Applied Mathematics 60 (2): 151–165. doi:10.1093/imamat/60.2.151.
   Web of Science ®Google Scholar
• Butt, A. S., and A. Ali. 2015. “Analysis of Entropy Generation Effects in Unsteady Squeezing Flow in a Rotating Channel with Lower Stretching Permeable Wall.” Journal of the Taiwan Institute of Chemical Engineers 48: 8–17. doi:10.1016/j.jtice.2014.10.021.
   Web of Science ®Google Scholar
• Casson, N. 1959. “A Flow Equation for Pigment Oil Suspensions of the Printing Ink Type.” In Rheology of Disperse Systems, edited by C. C. Mill, 84–102. Oxford: Pergamon Press.
   Google Scholar
• Chauhan, D. S., and P. Vyas. 1995. “Heat Transfer in MHD Viscous Flow Due to Stretching of a Boundary in the Presence of a Naturally Permeable bed.” Modelling Measurement & Control B ASME Periodicals 60 (1): 17–36.
   Google Scholar
• Chiang, Hsiu-Lu, Cheng-Hsing Hsu, and Jaw-Ren Lin. 2004. “Lubrication Performance of Finite Journal Bearings Considering Effects of Couple Stresses and Surface Roughness.” Tribology International 37: 297–307. doi:10.1016/j.triboint.2003.10.005.
   Web of Science ®Google Scholar
• Crane, L. J. 1970. “Flow Past a Stretching Plate.” Zeitschrift für angewandte Mathematik und Physik 21: 645–647. doi:10.1007/BF01587695.
   Web of Science ®Google Scholar
• Eegunjobi, A. S., and O. D. Makinde. 2017. “Irreversibility Analysis of Hydromagnetic Flow of Couple Stress Fluid with Radiative Heat in a Channel Filled with a Porous Medium.” Results in Physics 7: 459–469. doi:10.1016/j.rinp.2017.01.002.
   Web of Science ®Google Scholar
• Freidoonimehr, N., B. Rostami, M. M. Rashidi, and E. Momoniat. 2014. “Analytical Modelling of Three-Dimensional Squeezing Nanofluid Flow in a Rotating Channel on a Lower Stretching Porous Wall.” Mathematical Problems in Engineering 2014:Article ID 692728. doi:10.1155/2014/692728
   Web of Science ®Google Scholar
• Ghadikolaeia, S. S., K. Hosseinzadehb, and D. D. Ganji. 2017. “Analysis of Unsteady MHD Eyring-Powell Squeezing Flow in Stretching Channel with Considering Thermal Radiation and Joule Heating Effect Using AGM.” Case Studies In Thermal Engineering 10: 579–594. doi:10.1016/j.csite.2017.11.004.
   Web of Science ®Google Scholar
• Goto, M., and S. Uchida. 1990. “Unsteady Flows in a Semi-Infinite Expanding Pipe with Injection Through Wall.” Transactions of the Japan Society for Aeronautical and Space Sciences 33: 14–27.
   Web of Science ®Google Scholar
• Kareem, S. O., S. O. Adesanya, J. A. Falade, and U. E. Vincent. 2017. “Entropy Generation Rate in Unsteady Buoyancy-Driven Hydromagnetic Couple Stress Fluid Flow Through a Porous Channel.” Indian Journal of Pure and Applied Mathematics 115: 311–326. doi:10.12732/ijpam.v115i2.9.
   Google Scholar
• Kareem, S. O., S. O. Adesanya, and U. E. Vincent. 2016. “Second Law Analysis for Hydromagnetic Couple Stress Fluid Flow Through a Porous Channel.” Alexandria Engineering Journal 55: 925–931. doi:10.1016/j.aej.2016.02.020.
   Web of Science ®Google Scholar
• Khan, U., N. Ahmed, and S. T. Mohyud-Din. 2017. “Numerical Investigation for Three Dimensional Squeezing Flow of Nanofluid in a Rotating Channel with Lower Stretching Wall Suspended by Carbon Nanotubes.” Applied Thermal Engineering 113: 1107–1117. doi:10.1016/j.applthermaleng.2016.11.104.
   Web of Science ®Google Scholar
• Khan, N. A., H. Khan, and S. A. Ali. 2016. “Exact Solutions for MHD Flow of Couple Stress Fluid with Heat Transfer.” Journal of the Egyptian Mathematical Society 24: 125–129. doi:10.1016/j.joems.2014.10.003.
   Google Scholar
• Kockum, H., and A. Jernqvist. 1998. “Entropy Generation in Multifield Flows: Equations and Examples of Applications.” Institution of Chemical Engineering Transactions IChemE 76 (2): 210–222. doi:10.1205/026387698524631.
   Web of Science ®Google Scholar
• Kooijman, J. M. 1972. “The Flow and Mass Transfer in Haemodialysers: The Influence of Non-Newtonian Blood Flow.” Chemical Engineering Journal 4 (2): 189–196. doi:10.1016/0300-9467(72)80011-X.
   Google Scholar
• Majdalani, J., Z. Chong, and A. D. Christopher. 2002. “Two-Dimensional Viscous Flow Between Slowly Expanding or Contracting Walls with Permeability.” Journal of Biomechanics 35 (10): 1399–1403. doi:10.1016/S0021-9290(02)00186-0.
   PubMed Web of Science ®Google Scholar
• Majdalani, J., and C. Zhou. 2003. “Moderate-to-Large Injection and Suction Driven Channel Flows with Expanding or Contracting Walls.” Zeitschrift für Angewandte Mathematik und Mechanik 83 (3): 181–196. doi:10.1002/zamm.200310018.
   Web of Science ®Google Scholar
• Makinde, O. D., and A. S. Eegunjobi. 2016. “Entropy Analysis of Thermally Radiating Magnetohydrodynamics Slip Flow of Casson Fluid in a Microchannel Filled with Saturated Porous Media.” Journal of Porous Media 19 (9): 799–810. doi:10.1615/JPorMedia.v19.i9.40.
   Web of Science ®Google Scholar
• Misra, J. C., and G. C. Shit. 2009. “Flow of a Biomagnetic Visco-Elastic Fluid in a Channel with Stretching Walls.” Journal of Applied Mechanics 76 (6): 061006(9 pages). doi:10.1115/1.3130448.
   Web of Science ®Google Scholar
• Munawar, S., A. Mehmood, and A. Ali. 2012. “Three-Dimensional Squeezing Flow in a Rotating Channel of Lower Stretching Porous Wall.” Computers & Mathematics with Applications 64: 1575–1586. doi:10.1016/j.camwa.2012.01.003.
   Web of Science ®Google Scholar
• Murthy, J. V. R., and J. Srinivas. 2015. “First and Second Law Analysis for the MHD Flow of Two Immiscible Couple Stress Fluids Between Two Parallel Plates.” Heat Transfer – Asian Research 44: 468–487. doi:10.1002/htj.21131.
   Web of Science ®Google Scholar
• Muthuraj, R., S. Srinivas, and R. K. Selvi. 2013. “Heat and Mass Transfer Effects on MHD Flow of a Couple-Stress Fluid in a Horizontal Wavy Channel with Viscous Dissipation and Porous Medium.” Heat Transfer – Asian Research 42: 403–421. doi:10.1002/htj.21040.
   Google Scholar
• Nagaraju, G., J. Srinivas, J. V. R. Murthy, and A. M. Rashad. 2017. “Entropy Generation Analysis of the MHD Flow of Couple Stress Fluid Between Two Concentric Rotating Cylinders with Porous Lining.” Heat Transfer – Asian Research 46 (4): 316–330. doi:10.1002/htj.21214.
   Web of Science ®Google Scholar
• Nasir, A., S. U. Khan, M. Sajid, and Z. Abbas. 2016. “Flow and Heat Transfer of Hydromagnetic Oldroyd-B Fluid in a Channel with Stretching Walls.” Nonlinear Engineering 5 (2): 73–79. doi:10.1515/nleng-2015-0035.
   Google Scholar
• Nayak, A., and G. C. Dash. 2015. “Magnetohydrodynamic Couple Stress Fluid Flow Through a Porous Medium in a Rotating Channel.” Journal of Engineering Thermophysics 24: 283–295. doi:10.1134/S1810232815030091.
   Web of Science ®Google Scholar
• Ohki, M. 1980. “Unsteady Flow in a Porous, Elastic, Circular Tube–1 the Wall Contracting or Expanding in an Axial Direction.” Bull JSME 23: 679–686.
   Google Scholar
• Pal, D., N. Rudraiah, and R. Devanathan. 1988. “A Couple Stress Model of Blood Flow in the Microcirculation.” Bulletin of Mathematical Biology 50 (4): 329–344. doi:10.1007/BF02459703.
   PubMed Web of Science ®Google Scholar
• Rahimi, E., A. Rahimifar, R. Mohammadyari, I. Rahimipetroudi, and M. Rahimi-Esbo. 2016. “Analytical Approach for Solving two-Dimensional Laminar Viscous Flow Between Slowly Expanding and Contracting Walls.” Ain Shams Engineering Journal 7: 1089–1097. doi:10.1016/j.asej.2015.07.013.
   Web of Science ®Google Scholar
• Reza, J., F. Mebarek-Oudina, and O. D. Makinde. 2018. “MHD Slip Flow of Cu-Kerosene Nanofluid in a Channel with Stretching Walls Using 3-Stage Lobatto IIIA Formula.” Defect and Diffusion Forum 387: 51–62. doi:10.4028/www.scientific.net/DDF.387.51.
   Google Scholar
• Shaw, S., A. S. Dgonchi, M. K. Nayak, and O. D. Makinde. 2020. “Impact of Entropy Generation and Nonlinear Thermal Radiation on Darcy–Forchheimer Flow of MnFe2O4-Casson/Water Nanofluid Due to a Rotating Disk: Application to Brain Dynamics.” Arabian Journal for Science and Engineering 45 (7): 5471–5490. doi:10.1007/s13369-020-04453-2.
   Web of Science ®Google Scholar
• Sinha, A. 2015. “MHD Flow and Heat Transfer of a Third Order Fluid in a Porous Channel with Stretching Wall: Application to Hemodynamics.” Alexandria Engineering Journal 54 (4): 1243–1252. doi:10.1016/j.aej.2015.06.004.
   Google Scholar
• Srinivas, J., J. V. R. Murthy, and O. A. Bég. 2017. “Entropy Generation Analysis of Radiative Heat Transfer Effects on Channel Flow of Two Immiscible Couple Stress Fluids.” Journal of the Brazilian Society of Mechanical Sciences and Engineering 39: 2191–2202. doi:10.1007/s40430-017-0752-6.
   Web of Science ®Google Scholar
• Srinivasacharya, D., and K. Kaladhar. 2011. “Analytical Solution of MHD Free Convective Flow of Couple Stress Fluid in an Annulus with Hall and Ion-Slip Effects.” Nonlinear Analysis: Modelling and Control 16 (4): 477–487. doi:10.15388/na.16.4.14090.
   Web of Science ®Google Scholar
• Srinivasacharya, D., N. Srinivasacharyulu, and O. Odelu. 2009. “Flow and Heat Transfer of Couple Stress Fluid in a Porous Channel with Expanding and Contracting Walls.” International Communications in Heat and Mass Transfer 36 (2): 180–185. doi:10.1016/j.icheatmasstransfer.2008.10.005.
   Web of Science ®Google Scholar
• Stokes, V. K. 1966. “Couple Stress in Fluids.” Physics of Fluids 9: 1709–1715. doi:10.1063/1.1761925.
   Web of Science ®Google Scholar
• Taylor, D. E. M. 1975. “Blood flow in Arteries. By D. A. McDonald. Edward Arnold, London.” Experimental Physiology 60: 1974, xviii+496. £12. doi:10.1113/expphysiol.1975.sp002291.
   Google Scholar
• Uchida, S., and H. Aoki. 1977. “Unsteady Flows in a Semi-Infinite Contracting or Expanding Pipe.” Journal of Fluid Mechanics 82 (2): 371–387. doi:10.1017/S0022112077000718.
   Web of Science ®Google Scholar
• Vyas, P., and S. Khan. 2021. “Dual Entropy Regime in Channel Flow Subjected to Temperature Dependent Convection Mechanism.” International Journal of Heat and Technology 39 (2): 424–432. doi:10.18280/ijht.39021.
   Web of Science ®Google Scholar
• Vyas, P., S. Khan, and Gajanand. 2021a. “Cattaneo-Christov Flux and Entropy in Thermofluidics Involving Shrinking Surface.” Heat Transfer 50: 6210–6236. doi:10.1002/htj.22169.
   Web of Science ®Google Scholar
• Vyas, P., S. Khan, and Gajanand. 2021b. “Micropolar Couple Stress Thermofluidics and Entropy in Forchheimer Channel.” Heat Transfer 50: 4382–4416. doi:10.1002/htj.22080.
   Web of Science ®Google Scholar
• Vyas, P., and N. Srivastava. 2012. “On Dissipative Radiative MHD Boundary Layer Flow in a Porous Medium Over a Non-Isothermal Stretching Sheet.” Journal of Applied Fluid Mechanics 5 (4): 23–31.
   Web of Science ®Google Scholar
• Vyas, P., and N. Srivastava. 2015. “Entropy Analysis of Generalized MHD Couette Flow Inside a Composite Duct with Asymmetric Convective Cooling.” Arabian Journal for Science and Engineering 40 (2): 603–614. doi:10.1007/s13369-014-1562-0.
   Web of Science ®Google Scholar
• Vyas, P., and K. Yadav. 2020. “EGA for a Convective Regime Over a Vertical Cylinder Stretching Linearly.” Applied Mathematics and Nonlinear Sciences 2020: 1–12. doi:10.2478/amns.2020.2.00058.
   Google Scholar
• Zhou, J. K. 1986. Differential Transformation and Its Applications for Electrical Circuits. Wuhan: Huazhong University Press.
   Google Scholar