Comments on the measurement of thermal conductivity and presentation of a thermal conductivity integral method

Hust, J. G.; Lankford, Alan B.

doi:10.1007/bf00503959

Cited by 21 publications

(7 citation statements)

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“…must be taken in extrapolation and that such use with Equation (12) is speculative. 6. NOMENCLATURE , An = polynomial constants, n defined as integer or non-integer Bn = factor defined by Equation (15) k = thermal conductivity, W/(m -K) ke = effective thermal conductivity over temperature range T2 to Th W/(m -K) k(T) = expression for thermal conductivity as a function of temperature, W/(m -K) p = coordinate in heat flow path, m q = heat flux, W/m2 r = radius at position in a right circular cylinder, m ' t = temperature measured from an arbitrary datum plane T = absolute temperature, K T m = arithmetic mean temperature, K u(t) = see definition of Kirchhoff transform, Equation (4) w = as defined in Equation (12a) x = the linear position in a flat slab with two exposed surfaces, m; x2 -Xl defines the thickness of the slab z = defined with Equation (15) …”

Section: Discussionmentioning

confidence: 97%

“…Particular emphasis is placed on the premise that a determined function is only reliable for the empirical parameters used for the determination. Present day thoughts by some are based on a paper by Hust and Langford [6]. This paper purports that the empirical function may be used in Equation (12) to extrapolate outside of the empirical parameters.…”

Section: Discussionmentioning

confidence: 98%

“…Solutions of Equation (6) using Equation ( where is the effective thermal conductivity for the temperature range t2 to ti. The temperature difference in the denominator of Equation (12) is placed there to satisfy the premise for the heat conduction mode, such that the heat flux is porportional to the temperature gradient as is shown in Equation (10) and Equation (11).…”

Section: Solution Of the Boundary Value Problemmentioning

confidence: 99%

See 2 more Smart Citations

A Heat Transfer Note on Temperature Dependent Thermal Conductivity

Peavy¹

1996

Journal of Thermal Insulation and Building Envelopes

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This paper is concerned with the heat transfer through materials whose thermal conductivities vary with temperature. In particular, complete solutions are given for the steady state, one dimensional conduction heat transfer through a material with a temperature dependent thermal conductivity by use of the Kirchhoff transform. To determine this property as a function of temperature and for an application temperature range, a series of tests should be performed at different average temperatures and temperature differences and then a suitable temperature function (polynomial, exponential, etc.) should be found from the definition of the effective thermal conductivity. Discussion and examples are given for the temperature dependent apparent thermal conductivity of thermal insulating materials.

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Section: Discussionmentioning

confidence: 97%

Section: Discussionmentioning

confidence: 98%

Section: Solution Of the Boundary Value Problemmentioning

confidence: 99%

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A Heat Transfer Note on Temperature Dependent Thermal Conductivity

Peavy¹

1996

Journal of Thermal Insulation and Building Envelopes

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“…This is due to curvature of the conductivity function over the range of temperature AT. These biases were removed during analysis of the thermal conductivity data by use of an integral technique [11] which gives the correct functional dependence for the thermal conductivity.…”

Section: Computation Of Thermal Conductivitymentioning

confidence: 99%

“…The function chosen to fit the thermal conductivity data is of the form n X(T) -l a, [in (T+l) ] 1 . (11) i-1…”

Section: Thermal Conductivity Of Alloy X2095 (4%cu-l%li)mentioning

confidence: 99%

Aluminum-lithium alloys :

Purtscher¹,

Austin²,

Kim³

et al. 1992

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Surface-cracked tension fracture tests were conducted in the T-S orientation at 295, 76, and 4 K on two plate alloys (X2095-T851, plate thickness of 12.7 mm and 2090-T81, plate thicknesses of 12.7 and 19.1 mm).The cryogenic toughness to room temperature toughness ratio for alloy 2090 is generally higher than that found for alloy X2095. Both alloys have significantly lower tensile properties near the surface of rolled plate than in the center of the plate.The physical properties of seven plate specimens were measured from liquid helium to room temperature.Three variations in chemical composition of alloy X2095, three different samples of alloy 2090, and a single sample of alloy 2219-T87 were included.The mass density of Al alloys decreases by 4% / mass % of Li.The influence of texture on elastic properties is considered minimal because there is less than 5% variation in elastic-stiffness in the Al-Li alloys. The shear and Young's moduli increase 3 to 4% / mass % Li. The bulk modulus and Poisson ratio decrease by 3% / mass % Li.Thermal expansion between 4 and 320 K was measured on the same seven plate specimens included in the physical properties study. All of the materials showed a typical temperature dependence where the slope of the coefficient of thermal expansion (CTE) vs. temperature curve has a zero slope near absolute zero and a smooth monotonic increase to a constant slope near room temperature.The thermal conductivity of alloy X2095 (4%Cu-l%Li) was determined over the temperature range 4.2 to 300 K using a steady-state apparatus. The conductivity at 290 K was approximately 40% higher than at 77 K and was 37 times that at 4.6 K.The thermal conductivity of alloy X2095 is approximately twice that of alloy 2090, previously measured in the same apparatus.Compared to that of a published literature value for alloy 2219, the thermal conductivity of alloy X2095 is about 65% lower than for alloy 2219.

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Thermal Conductivity of Commercially Available 21-6-9 Stainless Steel

Yuecel

Maddocks

1994

Advances in Cryogenic Engineering Materials

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Thermal conductivity values of 21-6-9 stainless steel over the temperature range of 5 K to 120 K are reported. Thermal conductivity integrals are measured using a steady-state heat flux method. The resulting data are fit with a polynomial and differentiated to obtain the conductivity. The derived conductivity is compared to published data for highmanganese stainless steels and to data for other stainless steels. A discussion of the methodology and its accuracy is included. *Operated by the Universities Research Association, Inc., for the U.S. Department of Energy under Contract NO. DE-AC35-89ER40486.

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Comments on the measurement of thermal conductivity and presentation of a thermal conductivity integral method

Cited by 21 publications

References 1 publication

A Heat Transfer Note on Temperature Dependent Thermal Conductivity

A Heat Transfer Note on Temperature Dependent Thermal Conductivity

Aluminum-lithium alloys :

Thermal Conductivity of Commercially Available 21-6-9 Stainless Steel

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