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Ferromagnetic nano model study for the peristaltic flow in a plumb duct with permeable walls

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Abstract

The purpose of the present enquiry is to analyse the mechanics of an incompressible fluid, with water as base fluid, through a radially symmetric plumb duct with permeable walls in the presence of magnetic field. The study is an extension of peristaltic stream which has wide industrial applications. Exact solutions have been acquired for the foremost fluid problem. Results are demonstrated graphically and debated concisely.

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Abbreviations

a :

Radius of the tube

c :

Propagation velocity

λ:

Wavelength

\(\bar{R},\bar{Z}\) :

Cylindrical coordinates in the moving frame

\(\bar{W},\bar{U}\) :

Velocity components in the moving frame

\(\rho_{nf}\) :

Effective density

\(\mu_{nf}\) :

Effective dynamic viscosity

\(\alpha_{nf}\) :

Effective thermal diffusivity

\(\bar{P}\) :

Pressure in the moving frame

F :

Flow rate in moving frame

\(D_{a}\) :

Darcy number

M :

Hartman number

b :

Wave amplitude

\(\bar{h}\) :

Height of tube

\(\bar{t}\) :

Time

\(\bar{r},\bar{z}\) :

Cylindrical coordinates in the fixed frame

\(\bar{w},\bar{u}\) :

Velocity components in the fixed frame

\(k_{nf}\) :

Effective thermal conductivity of the nanofluid

\((\rho c_{p} )_{nf}\) :

Heat capacitance

ΔP :

Pressure rise

\(\bar{p}\) :

Pressure in the fixed frame

Q :

Flow rate in the fixed frame

\(\theta\) :

Temperature

G r :

Grashof number

References

  • Abd-Alla AM, Abo-Dahab SM, Al-Simery RD (2013) Effect of rotation on peristaltic flow of a micropolar fluid through a porous medium with an external magnetic field. J Magn Magn Mater 348:33–43

    Article  Google Scholar 

  • Abd-Alla AM, Abo-Dahab SM, Al-Simery RD (2014) Effects of rotation and initial stress on peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field. J Magn Magn Mater 349:268–280

    Article  Google Scholar 

  • Akbar NS (2014a) Endoscopic effects on the Peristaltic flow of Cu-water nanofluid. J Comp Theor Nanosci 11:1150–1155

    Article  Google Scholar 

  • Akbar NS (2014b) Peristaltic flow of a nanofluid in a diverging tube for Jeffrey fluid. J Comp Theor Nanosci 11:1335–1341

    Article  Google Scholar 

  • Akbar NS (2014c) Metallic nanoparticles analysis for the peristaltic flow in an asymmetric channel with MHD. IEEE Trans Nanotechnol 13:357–361

    Article  MathSciNet  Google Scholar 

  • Akbar NS (2014d) Nanofluid analysis for the intestinal flow in a symmetric channel. IEEE Trans Nanobiosci 13(4):392–396

    Article  MathSciNet  Google Scholar 

  • Akbar NS (2015) Carbon nano tubes analysis for blood flow in stenosed tapered arteries. IEEE Trans Nanotechnol 14:452–463

    Article  Google Scholar 

  • Akbar NS, Nadeem S (2011) Endoscopic effects on the peristaltic flow of a nanofluid. Commun Theor Phys 56:761–768

    Article  MATH  Google Scholar 

  • Akbar NS, Nadeem S (2013) Mixed convective magnetohydrodynamic peristaltic flow of a Jeffrey nanofluid with Newtonian heating. Zeitschrift fur Naturforschung A 68:433–441

    Google Scholar 

  • Akbar NS, Nadeem S, Hayat T, Hendi A (2012) Peristaltic flow of a nanofluid in a non-uniform tube. Heat Mass Transf 48:451–459

    Article  MATH  Google Scholar 

  • Buongiorno J (2005) Convective transport in nanofluids. J Heat Transf 128:240–250

    Article  Google Scholar 

  • Choi S (2009) Nanofluids: from vision to reality through research. J Heat Transf 131:1–9

    Article  Google Scholar 

  • Choi S, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles. Dev Appl Non-Newton Flows ASME FED 231:99–103

    Google Scholar 

  • Das SK, Choi S, Patel HE (2006) Heat transfer in nanofluids—a review. Heat Transf Eng 27:3–19

    Article  Google Scholar 

  • Ellahi R, Gulzar MM, Sheikholeslami M (2014a) Effects of heat transfer on peristaltic motion of Oldroyd fluid in the presence of inclined magnetic field. J Magn Magn Mater 372:97–106

    Article  Google Scholar 

  • Ellahi R, Rahman SU, Nadeem S, Akber NS (2014b) Influence of heat and mass transfer on micropolar fluid of blood flow through a tapered stenosed arteries with permeable walls. J Comput Theor Nanosci 11:1156–1163

    Article  Google Scholar 

  • Keblinski P, Phillpot SR, Choi S, Eastman JA (2002) Mechanisms of heat flow in suspensions of nano-sized particles. Int J Heat Mass Transf 45:855–863

    Article  MATH  Google Scholar 

  • Lee S, Choi S (1996) Applications of metallic nanoparticle suspensions in advanced cooling system. Recent Advances in Solid/Structures and Application of Metallic Materials, ASME, NewYork, pp 227–234

    Google Scholar 

  • Lee S, Choi S, Li S, Eastman JA (1999) Measuring thermal conductivity of fluids containing oxide nanoparticles. J Heat Transf 121:280–290

    Article  Google Scholar 

  • Maiga SE, Palm SJ, Nguyen CT, Roy G, Galanis N (2005) Heat transfer enhancement by using nanofluids in forced convection flows. Int J Heat Fluid Flow 26:530–546

    Article  Google Scholar 

  • Nadeem S, Sadaf H (2016) Ciliary motion phenomenon of viscous nanofluid in a curved channel with wall properties. Eur Phys J Plus 131:65

    Article  Google Scholar 

  • Nadeem S, Sadaf H, Sadiq MA (2014) Analysis of nanoparticles on peristaltic flow of prandtl fluid model in an endoscopy. Curr Nanosci 10(5):709–721

    Article  Google Scholar 

  • Sadaf H, Nadeem S (2016) Influences of slip and Cu-blood nanofluid in a physiological study of cilia. Comput Methods Progr Biomed 131:169–180

    Article  Google Scholar 

  • Saffman PG (1971) On the boundary condition at the interface of a porous medium. Stud Appl Math 50:93–101

    Article  MATH  Google Scholar 

  • Sheikholeslami M (2018) Application of Darcy law for nanofluid flow in a porous cavity under the impact of Lorentz forces. J Mol Liq 263:303–315

    Article  Google Scholar 

  • Sheikholeslami M, Rokni HB (2018) Magnetic nanofluid flow and convective heat transfer in a porous cavity considering Brownian motion effects. Phys Fluids 30:012003

    Article  Google Scholar 

  • Sheikholeslami M, Bandpy MG, Ganji DD (2013) Numerical investigation of MHD effects on Al2O3-water nanofluid flow and heat transfer in a semi-annulus enclosure using LBM. Energy 60:501–510

    Article  Google Scholar 

  • Sheikholeslami M, Bandpy MG, Ellahi R, Hassan M, Soleimani S (2014a) Effects of MHD on Cu-water nanofluid flow and heat transfer by means of CVFEM. J Magn Magn Mater 349:188–200

    Article  Google Scholar 

  • Sheikholeslami M, Bandpy MG, Ellahi R, Zeeshan A (2014b) Simulation of MHD CuO-water nanofluid flow and convective heat transfer considering Lorentz forces. J Magn Magn Mater 369:69–80

    Article  Google Scholar 

  • Yu W, France DM, Routbort JL, Choi S (2008) Review and comparison of nanofluid thermal conductivity and heat transfer enhancements. Heat Transf Eng 29:432–460

    Article  Google Scholar 

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Authors and Affiliations

  1. DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan

    Noreen Sher Akbar

  2. Department of Mathematics, Riphah International University, Islamabad, Pakistan

    Adil Wahid Butt

  3. NUSET, National University of Technology, Islamabad, Pakistan

    Adil Wahid Butt

Authors
  1. Noreen Sher Akbar
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  2. Adil Wahid Butt
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Correspondence to Adil Wahid Butt.

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Akbar, N.S., Butt, A.W. Ferromagnetic nano model study for the peristaltic flow in a plumb duct with permeable walls. Microsyst Technol 25, 1227–1234 (2019). https://doi.org/10.1007/s00542-018-4045-5

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  • DOI: https://doi.org/10.1007/s00542-018-4045-5

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