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Free Convective Oscillatory Flow of Visco-Elastic Dusty Fluid in a Channel with Inclined Magnetic Field

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Emerging Technologies in Data Mining and Information Security

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 491))

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Abstract

The time dependent oscillatory flow of a conducting visco-elastic dusty fluid with inclined magnetic field and radiation through a vertical channel filled with a saturated porous medium is under consideration. In the Cartesian coordinate system, x-axis lies along the centre of the channel, and y-axis is the distance measured in the normal direction. The motion of visco-elastic fluid with dust is governed by second-order fluid model and Saffman model. The partial differential equations governing the motion of fluid and dust are obtained and solved by analytical method. The analytical expression for velocity field, temperature field, shearing stress, and volume rate of flow is obtained. Velocity profile, shearing stress, and volume rate of flow of the fluid motion and dust particles have been represented graphically for different values of flow parameters involved in this study.

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References

  1. Luo L, Shah NAIM, Alarifi IM, Vieru D (2019) Two layer flows of generalized immiscible second grade fluids in a rectangular channel. Math Methods Appl Sci 43(3):1–12

    Google Scholar 

  2. Nisa ZU, Nazar M (2019) Natural convection flow of second grade fluid with thermal radiation and damped thermal flux between vertical channels. Alexandria Eng J 58(4):1119–1125

    Article  Google Scholar 

  3. Rana MA, Ali Y, Shoaib M, Numan M (2019) Magneto hydrodynamic three dimensional couette flow of a second grade fluid with sinusoidal injection/ suction. J Eng Thermodyn 28:138–162

    Article  Google Scholar 

  4. Ali F, Khan M, Gohar M (2021) Magnetohydrodynamic fluctuating free convection flow of second-grade fluid flow in a porous medium hindawi math. Probl Eng. Article ID 6648281. https://doi.org/10.1155/2021/6648281

  5. Deka B, Choudhury R (2018) on hydromagnetic flow of a second-grade fluid induced by an inclined plate. Int J Heat Technol 36(1):325–331

    Google Scholar 

  6. Choudhury R, Das B (2016) Influence of viscoelasticity on MHD heat and mass transfer flow through a porous medium bounded by an inclined surface with chemical reaction. Int J Heat Tech 34:332–338

    Article  Google Scholar 

  7. Dey D (2018) Viscoelastic fluid flow through an annulus with relaxation, retardation effects and external heat source/sink. Alex Eng J 57(2):995–1001

    Article  Google Scholar 

  8. Saffman PG (1962) On the stability of laminar flow of a dusty gas. J Fluid Mech 13(1):120–129

    Article  MathSciNet  Google Scholar 

  9. Manjunatha S, Gireesha BJ, Bagewadi CS (2017) Series solutions for an unsteady flow and heat transfer of a rotating dusty fuid with radiation effect. Acta Math Univ Comenianae 86(1):111–126

    MathSciNet  MATH  Google Scholar 

  10. Saidu I, Yusuf MW, Uwanta IJ, Iguda A (2010) MHD effects on convective flow of dusty viscous fluid with fraction in a porous medium. Aust J Basic Appl Sci 4(12):6094–6105

    Google Scholar 

  11. Prakash OM, Makinde OD, Kumar D, Dwivedi YK (2015) Heat transfer to MHD oscillatory dusty fluid flow in a channel filled with a porous medium. Sadhana 40(4):1273–1282

    Google Scholar 

  12. Prakash O, Makinde D (2015) MHD oscillatory couette flow of dusty fluid in a channel filled with a porous medium with radiative heat and buoyancy force. Latin Am Appl Res 45:185–191

    Article  Google Scholar 

  13. Singh NP, Singh AK (2002) MHD effects on convective flow of dusty viscous fluid with volume fraction. Bul Inst Math Aca Sin 30:141–151

    Google Scholar 

  14. Ali F, Bilal M, Sheikh NA, Khan I, Nisar KS (2019) Two-phase fluctuating flow of dusty viscoelastic fluid between nonconducting rigid plates with heat transfer. IEEE Access 35

    Google Scholar 

  15. Sivraj R, Kumar BR (2012) Unsteady MHD dusty visco-elastic fluid couette flow in an irregular channel with varying mass diffusion. Int J Heat Mass Transf 55:3076–3089

    Article  Google Scholar 

  16. Khan AA, Tariq H (2020) Peristaltic flow of second-grade dusty fluid through a porous medium in an asymmetric channel. J Porous Media 23:883–905

    Article  Google Scholar 

  17. Gupta RK, Gupta K (1990) Unsteady flow of a dusty visco-elastic fluid through channel with volume fraction. Indian J Pure Appl Math 21(7):677–690

    MATH  Google Scholar 

  18. Deb R (2018) Second-order fluid through porous medium in a rotating channel with Hall current. Proc IEMIS 1:369–377. https://doi.org/10.1007/978-981-13-1951-8_33

    Article  Google Scholar 

  19. Dey D (2016) Non-Newtonian effects on hydromagnetic dusty stratified fluid flow through a porous medium with volume fraction. Proc Natl Acad Sci India Sect A 86(1):47–56

    Article  MathSciNet  Google Scholar 

  20. Coleman BD, Markovitz H (1964) Incompressible second order fluid. Adv Appl Mech 8:69

    Article  MathSciNet  Google Scholar 

  21. Coleman BD, Noll W (1960) An approximation theorem for functional with applications in continuum mechanics, archs ration. MechAnal 6:355

    MATH  Google Scholar 

  22. Cogley ACL, Vinvent WC, Gilees SE (1968) Am Inst Aeronaut Astronaut 6:551

    Article  Google Scholar 

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Correspondence to Hridi Ranjan Deb .

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Deb, H.R. (2023). Free Convective Oscillatory Flow of Visco-Elastic Dusty Fluid in a Channel with Inclined Magnetic Field. In: Dutta, P., Chakrabarti, S., Bhattacharya, A., Dutta, S., Piuri, V. (eds) Emerging Technologies in Data Mining and Information Security. Lecture Notes in Networks and Systems, vol 491. Springer, Singapore. https://doi.org/10.1007/978-981-19-4193-1_16

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