Heat transfer through the axially symmetric boundary layer on a moving circular fibre

Bourne, D.E.; Elliston, D.G

doi:10.1016/0017-9310(70)90153-5

Cited by 59 publications

(17 citation statements)

References 10 publications

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“…The results obtained from our analysis are in good agreement with those of Crane [4], as shown in Fig 2. The accuracy of the Pohlhausen method increases with increasing values of x, that is increased axial distance from the orifice. It is also important to note that for a Prandtl number equal to unity the results match up with those of Bourne and Elliston [3]. This paper has shown that the Pohlhausen method can be a powerful tool in predicting the rate of heat transfer from the surface of a cylindrical fibre moving through a stationary fluid at large distances from the orifice.…”

Section: Resultssupporting

confidence: 71%

“…Bourne and Elliston [3] have used a Pohlhausen technique to determine the rate of heat transfer from a moving cylindrical fibre for Prandtl numbers in the range 0 ≤ σ ≤ 1. This paper aims to build upon the work of Bourne and Elliston [3] by determining the Nusselt number for a range of Prandtl numbers greater than unity. The method used is similar to that of Bourne and Elliston, with the same assumptions made with respect to fibre velocity, temperature and radius.…”

Section: Initial Observationsmentioning

confidence: 99%

“…In order to solve this equation we must substitute in appropriate velocity and temperature profiles. The velocity and temperature profiles from Bourne and Elliston [3]…”

Section: Formulation and Analysismentioning

confidence: 99%

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Heat Transfer through the Boundary Layer on a Moving Cylindrical Fibre

Redmond¹,

McDonnell²

2010

Proc Appl Math and Mech

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Section: Resultssupporting

confidence: 71%

Section: Initial Observationsmentioning

confidence: 99%

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Heat Transfer through the Boundary Layer on a Moving Cylindrical Fibre

Redmond¹,

McDonnell²

2010

Proc Appl Math and Mech

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“…Bourne and Elliston [8] studies heat transfer through the axially symmetric boundary layer on a moving circular fibre. Krani and Pecho [27] reported on the thermal laminar boundary layer on a continuous cylinder.…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer from MHD Flow over a Moving Permeable Cylinder with Heat Generation or Absorption and Chemical Reaction

Chamkha¹

2011

Communications in Numerical Analysis

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General boundary-layer equations governing steady, laminar, hydromagnetic flow and heat and mass transfer over a permeable cylinder moving with a linear velocity in the presence of heat generation/absorption, chemical reaction, suction/injection effects and uniform transverse magnetic field are developed. A similarity transformation is used to transform the governing partial differential equations into ordinary differential equations. The dimensionless self-similar equations are then solved numerically by using a standard fully implicit, iterative, tri-diagonal finite-difference method. Comparisons with previously published work on various special cases of the problem are performed and the results are found to be in excellent agreement. A parametric study of the physical parameters involved in the problem is conducted and a representative set of numerical results is illustrated graphically and in tabular form.

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“…' dt dz dr) Pa dz ar r dr a Z ) energy ( dT dTa'\ id( dTa d( dTa\ CpaPa Va + Ua = _Trka ) + ka ) (12) where cpa is the specific heat for the air, ka is the thermal conductivity for the fluid, ua and Va are the radial and axialvelocities of the air respectively, Ta is the temperature of the air, Va is the kinematic viscosity of the air, and Pa is the air density.…”

Section: Governing Equationsmentioning

confidence: 99%

<title>Heat transfer in the heating region of the optical fiber drawing process</title>

Papamichael

Miaoulis

1994

Properties and Characteristics of Optical Glass III

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The use and applications of optical fibers have been increased dramatically over the years. A need to improve the quality and increase the yield of optical fibers and optical multifiber systems lead to studies related to the manufacturing process of optical fibers. This paper presents a combination of analytical and numerical work on the thermal analysis of the heating region. During the process various phenomena occur in the heating region: As the glass rod is pulled downward, it stretches and a neckdown shape is formed at its lower end. This stretching affects the air flow patterns in the furnace as well as the heat transfer in the glass and its surroundings. The preform is heated radially by a radiative heater. The radiation effects were taken into consideration. Axial and radial heat conduction, and convective heat transfer from the surface of the preform were also accounted for. A coupled form of the boundary layer equations combined with the conduction equation in the glass was solved considering the above phenomena. The temperature distribution in the glass for various drawing conditions was calculated. The flow patterns in the glass were observed and a sample study of the air flow in the furnace is presented. Also, the shape of the glass preform was evaluated for various drawing parameters.

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Heat transfer through the axially symmetric boundary layer on a moving circular fibre

Cited by 59 publications

References 10 publications

Heat Transfer through the Boundary Layer on a Moving Cylindrical Fibre

Heat Transfer through the Boundary Layer on a Moving Cylindrical Fibre

Heat and Mass Transfer from MHD Flow over a Moving Permeable Cylinder with Heat Generation or Absorption and Chemical Reaction

<title>Heat transfer in the heating region of the optical fiber drawing process</title>

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