scholarly journals An analytical solution of convective heat transfer in microchannel or nanochannel

2020 ◽  
Vol 117 ◽  
pp. 104766
Author(s):  
Qiangqiang Sun ◽  
Kwing-So Choi ◽  
Xuerui Mao
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Convective Heat Transfer ◽  
Convective Heat

A New Exact-Analytical Solution for Convective Heat Transfer of Nanofluids Flow in Isothermal Pipes

2017 ◽  
Vol 35 (02) ◽  
pp. 233-242 ◽  
Author(s):  
P. Akbarzadeh
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Volume Fraction ◽  
Exact Analytical Solution ◽  
Perturbation Technique ◽  
Particle Diameter ◽  
Whittaker Function ◽  
Surface Mass

ABSTRACTThis study presents a new exact-analytical solution for convective heat transfer of thermally fully-developed laminar nanofluid flows in a circular tube for the first time. In this problem, the pipe wall is exposed to a constant temperature. The solution is based on the Whittaker function and perturbation technique. In the nanofluid model, it is assumed that nanoparticles and base-fluid behave as a single-phase with average properties. In this study, the effects of Reynolds number, volume fraction of the particles, Peclet number, and particle diameter are investigated on the average heat transfer coefficient, surface mass transfer, and Nusselt number.

scholarly journals An analytical model of icicle growth

1994 ◽  
Vol 19 ◽  
pp. 141-145 ◽  
Author(s):  
Krzysztof Szilder ◽  
Edward P. Lozowski
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Differential Forms ◽  
Heat Fluxes ◽  
Time Interval ◽  
Dimensionless Form ◽  
Conservation Of Energy ◽  
Dimensionless Variables

A model of icicle growth has been developed based on an analytical solution of the differential forms of the conservation of energy and mass. The problem has been formulated using dimensionless variables defined as the ratios of the various heat fluxes which determine the icicle’s growth. The evolution of the dimensionless icicle shape has been expressed as a function of the variation of the convective heat transfer with icicle radius. The time interval needed for the icicle to reach its maximum length and the variation of the icicle mass and drip rate are expressed in dimensionless form.

An exact analytical solution for convective heat transfer in rectangular ducts

2012 ◽  
Vol 13 (10) ◽  
pp. 768-781 ◽  
Author(s):  
Mohammad Mohsen Shahmardan ◽  
Mahmood Norouzi ◽  
Mohammad Hassan Kayhani ◽  
Amin Amiri Delouei
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Exact Analytical Solution

EFFECTS OF COMBINED RADIATIVE AND CONVECTIVE HEAT TRANSFER ON TEMPERATURE BENEATH MODULATED SOURCE

2007 ◽  
Vol 21 (11) ◽  
pp. 1903-1913 ◽  
Author(s):  
KAREM BOUBAKER ◽  
M. BOUHAFS
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Laser Beam ◽  
Heat Equation ◽  
Convective Heat Transfer ◽  
Temperature Profile ◽  
Convective Heat ◽  
Calculation Method ◽  
Gaussian Laser Beam ◽  
Non Gaussian

An analytical solution is presented to the heat equation in the vicinity of a surface fluid, heated by a modulated Gaussian Laser beam and taking into account three heat transfer modes: conduction, radiation and convection. A new calculation method is performed for profiling temperature inside a surface fluid. Comparison with several experimental profiles explains some unexpected temperature profile results as non-Gaussian behaviour.

Exact Analytical Solution on Convective Heat Transfer of Isothermal Pipes

2015 ◽  
Vol 29 (3) ◽  
pp. 632-636 ◽  
Author(s):  
M. Norouzi ◽  
M. Davoodi
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Exact Analytical Solution
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