scholarly journals An analytical solution for temperature field around a cylindrical surface subjected to a time dependent heat flux: An alternative approach

2018 ◽  
Vol 57 (2) ◽  
pp. 927-929 ◽  
Author(s):  
Basant K. Jha ◽  
Michael O. Oni
Keyword(s):  
Heat Flux ◽  
Temperature Field ◽  
Analytical Solution ◽  
Cylindrical Surface ◽  
Time Dependent ◽  
Alternative Approach

Heat Transfer Analysis of Laminar Pulsating Flow in a Rectangular Channel Using Infrared Thermography

2021 ◽  
Author(s):  
Richard Blythman ◽  
Sajad Alimohammadi ◽  
Nicholas Jeffers ◽  
Darina B. Murray ◽  
Tim Persoons
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Analytical Solution ◽  
Local Time ◽  
Rectangular Channel ◽  
Pulsating Flow ◽  
Time Dependent ◽  
Heat Transfer Analysis ◽  
Flux Boundary Condition ◽  
Hydrodynamic Behaviour

Abstract While numerous applied studies have successfully demonstrated the feasibility of unsteady cooling solutions, a consensus has yet to be reached on the local instantaneous conditions that result in heat transfer enhancement. The current work aims to experimentally validate a recent analytical solution (on a local time-dependent basis) for the common flow condition of a fully-developed incompressible pulsating flow in a uniformly-heated vessel. The experimental setup is found to approximate the ideal constant heat flux boundary condition well, especially for the decoupled unsteady scenario where the amplitude of the most significant secondary contributions (capacitance and lateral conduction) amounts to 1.2% and 0.2% of the generated heat flux, respectively. Overall, the experimental measurements for temperature and heat flux oscillations are found to coincide well with a recent analytical solution to the energy equation by the authors. Furthermore, local time-dependent heat flux enhancements and degradations are observed to be qualitatively similar to those of wall shear stress from a previous study, suggesting that the thermal performance is indeed influenced by hydrodynamic behaviour.

scholarly journals A Theorem for Finding Maximum Temperature in Wet Grinding

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
J. L. González-Santander ◽  
G. Martín
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Temperature Field ◽  
Integral Form ◽  
Stationary Regime ◽  
Time Dependent ◽  
Maximum Temperature ◽  
Theoretical Computation ◽  
Constant Heat ◽  
Workpiece Surface

We consider the solutions found in the literature for heat transfer in surface grinding, assuming a constant heat transfer coefficient for the coolant acting on the workpiece surface and a constant or linear heat flux profiles entering into the workpiece. From the integral form of the time-dependent temperature field reached in the workpiece, assuming the previous conditions, we prove that the maximum temperature always occurs in the stationary regime on the workpiece surface within the contact zone between the wheel and the workpiece. This result assures a very rapid method for the theoretical computation of the maximum temperature.

Solution of Non-Fourier Temperature Field in a Hollow Sphere under Harmonic Boundary Condition

2015 ◽  
Vol 772 ◽  
pp. 197-203 ◽  
Author(s):  
Amin Bahrami ◽  
Siamak Hosseinzadeh ◽  
Ramin Ghasemiasl ◽  
Morteza Radmanesh
Keyword(s):  
Heat Flux ◽  
Temperature Field ◽  
Hollow Sphere ◽  
Separation Of Variables ◽  
Time Dependent ◽  
Separation Of Variables Method ◽  
Method Of Solution ◽  
Duhamel Integral ◽  
Special Case ◽  
General Time

Analytical solution of the axisymmetric two-dimensional non-Fourier temperature field within a hollow sphere is investigated considering Cattaneo-Vernotte constitutive equation with general time-dependent heat flux. The material is assumed to be homogeneous and isotropic with temperature-independent thermal properties. The method of solution is the standard separation of variables method. Duhamel integral is used for applying the time-dependent boundary conditions. The presented solution is applied to special case of harmonic heat flux on outer surface.

scholarly journals Brief note on heat flow with arbitrary heating rates in a hollow cylinder

2011 ◽  
Vol 15 (1) ◽  
pp. 275-280 ◽  
Author(s):  
K.C. Deshmukh ◽  
S.D. Warbhe ◽  
V.S. Kulkarni
Keyword(s):  
Heat Flux ◽  
Temperature Field ◽  
Temperature Distribution ◽  
Hollow Cylinder ◽  
Integral Transform ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Time Dependent ◽  
Internal Boundary ◽  
Heating Rates

In this paper the temperature distribution is determined through a hollow cylinder under an arbitrary time dependent heat flux at the outer surface and zero heat flux at the internal boundary due to internal heat generation within it. To develop the analysis of the temperature field, we introduce the method of integral transform. The results are obtained in a series form in-terms of Bessel?s functions.

scholarly journals Exact Solution for the Time-Dependent Temperature Field in Dry Grinding: Application to Segmental Wheels

2011 ◽  
Vol 2011 ◽  
pp. 1-28 ◽  
Author(s):  
J. L. González-Santander ◽  
J. M. Valdés Placeres ◽  
J. M. Isidro
Keyword(s):  
Integral Equation ◽  
Exact Solution ◽  
Temperature Field ◽  
Analytical Solution ◽  
Time Evolution ◽  
Time Dependent ◽  
Temperature Fields ◽  
Grinding Wheel ◽  
Workpiece Surface ◽  
Dry Grinding

We present a closed analytical solution for the time evolution of the temperature field in dry grinding for any time-dependent friction profile between the grinding wheel and the workpiece. We base our solution in the framework of the Samara-Valencia model Skuratov et al., 2007, solving the integral equation posed for the case of dry grinding. We apply our solution to segmental wheels that produce an intermittent friction over the workpiece surface. For the same grinding parameters, we plot the temperature fields of up- and downgrinding, showing that they are quite different from each other.

scholarly journals The exact analytical solution of the dual-phase-lag two-temperature bioheat transfer of a skin tissue subjected to constant heat flux

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Hamdy M. Youssef ◽  
Najat A. Alghamdi
Keyword(s):  
Heat Flux ◽  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Constant Heat Flux ◽  
Bioheat Transfer ◽  
Skin Tissue ◽  
Phase Lag ◽  
Dual Phase ◽  
Constant Heat ◽  
Two Temperature

Abstract This work is dealing with the temperature reaction and response of skin tissue due to constant surface heat flux. The exact analytical solution has been obtained for the two-temperature dual-phase-lag (TTDPL) of bioheat transfer. We assumed that the skin tissue is subjected to a constant heat flux on the bounding plane of the skin surface. The separation of variables for the governing equations as a finite domain is employed. The transition temperature responses have been obtained and discussed. The results represent that the dual-phase-lag time parameter, heat flux value, and two-temperature parameter have significant effects on the dynamical and conductive temperature increment of the skin tissue. The Two-temperature dual-phase-lag (TTDPL) bioheat transfer model is a successful model to describe the behavior of the thermal wave through the skin tissue.

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