Analysis of a self-propelling sheet with heat transfer through non-isothermal fluid in an inclined human cervical canal

Ahsan Walait, Abdul M. Siddiqui, M. A. Rana

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The present theoretical analysis deals with biomechanics of the self-propulsion of a swimming sheet with heat transfer through non-isothermal fluid filling an inclined human cervical canal. Partial differential equations arising from the mathematical modeling of the proposed model are solved analytically. Flow variables like pressure gradient, propulsive velocity, fluid velocity, time mean flow rate, fluid temperature, and heat-transfer coefficients are analyzed for the pertinent parameters. Striking features of the pumping characteristics are explored. Propulsive velocity of the swimming sheet becomes faster for lower Froude number, higher Reynolds number, and for a vertical channel. Temperature and peak value of the heat-transfer coefficients below the swimming sheet showed an increase by the increment of Brinkmann number, inclination, pressure difference over wavelength, and Reynolds number whereas these quantities decrease with increasing Froude number. Aforesaid parameters have shown opposite effects on the peak value of the heat-transfer coefficients below and above the swimming sheet. Relevance of the current results to the spermatozoa transport with heat transfer through non-isothermal cervical mucus filling an inclined human cervical canal is also explored.

Original languageEnglish (US)
Pages (from-to)273-300
Number of pages28
JournalJournal of Biological Physics
Volume44
Issue number3
DOIs
StatePublished - Sep 1 2018

Fingerprint

canals
Hot Temperature
heat transfer coefficients
heat transfer
Froude number
fluids
mucus
spermatozoa
biodynamics
high Reynolds number
Cervix Mucus
Pressure
propulsion
pressure gradients
Temperature
partial differential equations
inclination
Reynolds number
pumping
Biomechanical Phenomena

All Science Journal Classification (ASJC) codes

  • Biophysics
  • Atomic and Molecular Physics, and Optics
  • Molecular Biology
  • Cell Biology

Cite this

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abstract = "The present theoretical analysis deals with biomechanics of the self-propulsion of a swimming sheet with heat transfer through non-isothermal fluid filling an inclined human cervical canal. Partial differential equations arising from the mathematical modeling of the proposed model are solved analytically. Flow variables like pressure gradient, propulsive velocity, fluid velocity, time mean flow rate, fluid temperature, and heat-transfer coefficients are analyzed for the pertinent parameters. Striking features of the pumping characteristics are explored. Propulsive velocity of the swimming sheet becomes faster for lower Froude number, higher Reynolds number, and for a vertical channel. Temperature and peak value of the heat-transfer coefficients below the swimming sheet showed an increase by the increment of Brinkmann number, inclination, pressure difference over wavelength, and Reynolds number whereas these quantities decrease with increasing Froude number. Aforesaid parameters have shown opposite effects on the peak value of the heat-transfer coefficients below and above the swimming sheet. Relevance of the current results to the spermatozoa transport with heat transfer through non-isothermal cervical mucus filling an inclined human cervical canal is also explored.",
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Analysis of a self-propelling sheet with heat transfer through non-isothermal fluid in an inclined human cervical canal. / Walait, Ahsan; Siddiqui, Abdul M.; Rana, M. A.

In: Journal of Biological Physics, Vol. 44, No. 3, 01.09.2018, p. 273-300.

Research output: Contribution to journalArticle

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