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    A Two Dimensional Cylindrical Transient Conduction Solution Using Green's Functions 

    Source: Journal of Heat Transfer:;2014:;volume( 136 ):;issue: 010:;page 101301
    Author(s): McMasters, Robert L.; Beck, James V.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: There are many applications for problems involving thermal conduction in twodimensional (2D) cylindrical objects. Experiments involving thermal parameter estimation are a prime example, including cylindrical objects suddenly ...
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    Estimating Two Heat-Conduction Parameters From Two Complementary Transient Experiments 

    Source: Journal of Heat Transfer:;2018:;volume( 140 ):;issue: 007:;page 71301
    Author(s): McMasters, Robert L.; de Monte, Filippo; Beck, James V.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A desirable feature of any parameter estimation method is to obtain as much information as possible with one experiment. However, achieving multiple objectives with one experiment is often not possible. In the field of ...
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    Generalized Solution for Two-Dimensional Transient Heat Conduction Problems With Partial Heating Near a Corner 

    Source: Journal of Heat Transfer:;2019:;volume( 141 ):;issue: 007:;page 71301
    Author(s): McMasters, Robert L.; de Monte, Filippo; Beck, James V.
    Publisher: American Society of Mechanical Engineers (ASME)
    Abstract: A generalized solution for a two-dimensional (2D) transient heat conduction problem with a partial-heating boundary condition in rectangular coordinates is developed. The solution accommodates three kinds of boundary ...
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    Transient Two-Dimensional Heat Conduction Problem With Partial Heating Near Corners 

    Source: Journal of Heat Transfer:;2018:;volume( 140 ):;issue: 002:;page 21301
    Author(s): McMasters, Robert L.; de Monte, Filippo; Beck, James V.; Amos, Donald E.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper provides a solution for two-dimensional (2D) heating over a rectangular region on a homogeneous plate. It has application to verification of numerical conduction codes as well as direct application for heating ...
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    Verification of ansys and matlab Heat Conduction Results Using an “Intrinsically” Verified Exact Analytical Solution 

    Source: Journal of Verification, Validation and Uncertainty Quantification:;2021:;volume( 006 ):;issue: 002:;page 021005-1
    Author(s): McMasters, Robert L.; de Monte, Filippo; D'Alessandro, Giampaolo; Beck, James V.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A two-dimensional (2D) transient thermal conduction problem is examined, and numerical solutions to the problem generated by ansys and matlab, employing the finite element (FE) method, are compared against an “intrinsically” ...
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    The Effect of Biot Number on a Generalized Heat Conduction Solution 

    Source: ASME Journal of Heat and Mass Transfer:;2023:;volume( 145 ):;issue: 009:;page 91401-1
    Author(s): McMasters, Robert L.; Monte, Filippo de; D'Alessandro, Giampaolo; Beck, James V.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Analytical solutions for thermal conduction problems are extremely important, particularly for verification of numerical codes. Temperatures and heat fluxes can be calculated very precisely, normally to eight or ten ...
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