Volume 3: Combustion, Fire and Reacting Flow; Heat Transfer in Multiphase Systems; Heat Transfer in Transport Phenomena in Manu 2009
DOI: 10.1115/ht2009-88562 View full text |Buy / Rent full text
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Abstract: The time dependent temperature distribution due to a moving plane heat source of hyperelliptical geometry is analytically studied in this work. The effect of the heat source shape is investigated starting from the general solution of a moving heat source on a half space. Selecting the square root of the heat source area as a length scale, it is observed that the temperature distribution becomes a weak function of the heat source shape. Variation of temperature field with respect to the source aspect ratio, vel… Show more

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“…If the point source shown in Fig. 3a moves with a constant velocity of v in the x-direction, the temperature rise distribution (Jeager, 1942;Akbari et al, 2009) at the time t due to the amount of heat released when the source was at (vt ′ , γ, 0) is…”
Section: Moving Point Sourcementioning
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“…If the point source shown in Fig. 3a moves with a constant velocity of v in the x-direction, the temperature rise distribution (Jeager, 1942;Akbari et al, 2009) at the time t due to the amount of heat released when the source was at (vt ′ , γ, 0) is…”
Section: Moving Point Sourcementioning
“…The method to extract Eq. (3.2) in (Akbari et al, 2009) has been fully explained, which can be referred to for further details on that reference. Letting τ = t − t ′ , and for a constant heat flow rate and the properties, Eq.…”
Section: Moving Point Sourcementioning
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“…According to the assumptions of the moving line source model [11,13,14], the moving ring source theory was deduced based on the following assumptions: the ground is a homogeneous infinite porous medium with a uniform initial temperature and thermal properties that are independent of temperature changes [9]. Groundwater is assumed to flow with a constant velocity of U along one direction.…”
Section: Moving Ring Source Model In An Infinite Mediummentioning
“…3,4 The influence of contact area geometry is also rather weak. 5 Thus, the model with the stated heat flux input conditions can be considered as being adequate for qualitative comparison of the various models.…”
Section: Introductionmentioning