Thiele hard sphere equation of state - Revision history

Proxima Centari: added full name

2024-06-12T22:20:17Z

added full name

← Older revision		Revision as of 00:20, 13 June 2024
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	{{Stub-general}}		{{Stub-general}}
	The '''Thiele hard sphere equation of state''' is an [[equations of state\|equation of state]] for modeling a [[hard sphere model\|hard sphere]] fluid developed by Thiele in 1963		The '''Thiele hard sphere equation of state''' is an [[equations of state\|equation of state]] for modeling a [[hard sphere model\|hard sphere]] fluid developed by Everett Thiele in 1963
	<ref>[https://doi.org/10.1063/1.1734272 Everett Thiele "Equation of State for Hard Spheres", Journal of Chemical Physics '''39''' 474 (1963)]</ref>.		<ref>[https://doi.org/10.1063/1.1734272 Everett Thiele "Equation of State for Hard Spheres", Journal of Chemical Physics '''39''' 474 (1963)]</ref>.
	The equation provides a better approximation of the repulsive forces between molecules than the [[Van der Waals equation of state\|Van der Waals repulsive term]]. The equation is given below:		The equation provides a better approximation of the repulsive forces between molecules than the [[Van der Waals equation of state\|Van der Waals repulsive term]]. The equation is given below:

Proxima Centari: added wikilinks

2024-06-12T22:18:38Z

added wikilinks

← Older revision		Revision as of 00:18, 13 June 2024
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	where:		where:
	:<math>Z_{hs}</math> is the compressibility factor of the hard sphere fluid;		:<math>Z_{hs}</math> is the [[compressibility factor]] of the hard sphere fluid;
	:<math>p_{hs}</math> is the pressure of the fluid;		:<math>p_{hs}</math> is the [[pressure]] of the fluid;
	:<math>V_m</math> is the molar volume of the fluid;		:<math>V_m</math> is the molar volume of the fluid;
	:<math>T</math> is the absolute temperature of the fluid;		:<math>T</math> is the absolute [[temperature]] of the fluid;
	:<math>R</math> is the gas constant; and		:<math>R</math> is the [[molar gas constant]]; and
	:<math>\eta</math> is the [[packing fraction]] of the fluid.		:<math>\eta</math> is the [[packing fraction]] of the fluid.

Proxima Centari: Wording

2024-06-11T20:14:45Z

Wording

← Older revision		Revision as of 22:14, 11 June 2024
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	{{Stub-general}}		{{Stub-general}}
	The '''Thiele hard sphere equation of state''' is an [[equations of state\|equation of state]] for a [[hard sphere model\|hard sphere]] fluid developed by Thiele in 1963		The '''Thiele hard sphere equation of state''' is an [[equations of state\|equation of state]] for modeling a [[hard sphere model\|hard sphere]] fluid developed by Thiele in 1963
	<ref>[https://doi.org/10.1063/1.1734272 Everett Thiele "Equation of State for Hard Spheres", Journal of Chemical Physics '''39''' 474 (1963)]</ref>.		<ref>[https://doi.org/10.1063/1.1734272 Everett Thiele "Equation of State for Hard Spheres", Journal of Chemical Physics '''39''' 474 (1963)]</ref>.
	The equation provides a better approximation of the repulsive forces between molecules than the [[Van der Waals equation of state\|Van der Waals repulsive term]]. The equation is given below:		The equation provides a better approximation of the repulsive forces between molecules than the [[Van der Waals equation of state\|Van der Waals repulsive term]]. The equation is given below:

Carl McBride: Undo revision 20471 by Carl McBride (talk) (Already had this category)

2021-02-25T19:22:02Z

Undo revision 20471 by Carl McBride (talk) (Already had this category)

← Older revision		Revision as of 21:22, 25 February 2021
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	==References==		==References==
	<references/>		<references/>
	~~[[category: equations of state]]~~

Carl McBride: Added category

2021-02-25T19:20:12Z

Added category

← Older revision		Revision as of 21:20, 25 February 2021
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	==References==		==References==
	<references/>		<references/>
			[[category: equations of state]]

Carl McBride: Added a reference

2021-02-25T19:19:16Z

Added a reference

← Older revision		Revision as of 21:19, 25 February 2021
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	{{Stub-general}}		{{Stub-general}}
	The '''Thiele hard sphere equation of state''' is an [[equations of state\|equation of state]] for a [[hard sphere model\|hard sphere]] fluid developed by Thiele in 1963. The equation provides a better approximation of the repulsive forces between molecules than the [[Van der Waals equation of state\|Van der Waals repulsive term]]. The equation is given below:		The '''Thiele hard sphere equation of state''' is an [[equations of state\|equation of state]] for a [[hard sphere model\|hard sphere]] fluid developed by Thiele in 1963
			<ref>[https://doi.org/10.1063/1.1734272 Everett Thiele "Equation of State for Hard Spheres", Journal of Chemical Physics '''39''' 474 (1963)]</ref>.
			The equation provides a better approximation of the repulsive forces between molecules than the [[Van der Waals equation of state\|Van der Waals repulsive term]]. The equation is given below:

	<math> Z_{hs} = \frac{p_{hs}V_m}{RT} = \frac{1 - \eta^3}{(1-\eta)^4} = \frac{1 + \eta + \eta^2}{(1-\eta)^3} </math>,		<math> Z_{hs} = \frac{p_{hs}V_m}{RT} = \frac{1 - \eta^3}{(1-\eta)^4} = \frac{1 + \eta + \eta^2}{(1-\eta)^3} </math>,
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	[[category: Equations of state]]		[[category: Equations of state]]
	[[category: hard sphere]]		[[category: hard sphere]]

			==References==
			<references/>

Proxima Centari: Mentioned the Carnahan-Starling equation

2021-02-10T19:25:47Z

Mentioned the Carnahan-Starling equation

← Older revision		Revision as of 21:25, 10 February 2021
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	:<math>\eta</math> is the [[packing fraction]] of the fluid.		:<math>\eta</math> is the [[packing fraction]] of the fluid.

			In terms of accuracy, the Thiele equation is superseded by the [[Carnahan-Starling equation of state]]
	[[category: Equations of state]]		[[category: Equations of state]]
	[[category: hard sphere]]		[[category: hard sphere]]

Proxima Centari: Added the Thiele equation

2021-02-10T19:07:05Z

Added the Thiele equation

← Older revision		Revision as of 21:07, 10 February 2021
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	{{Stub-general}}		{{Stub-general}}
	The '''Thiele hard sphere equation of state''' is an [[equations of state\|equation of state]] for a [[hard sphere model\|hard sphere]] fluid developed by Thiele in 1963. The equation provides a better approximation of the repulsive forces between molecules than the [[Van der Waals equation of state\|Van der Waals repulsive term]].		The '''Thiele hard sphere equation of state''' is an [[equations of state\|equation of state]] for a [[hard sphere model\|hard sphere]] fluid developed by Thiele in 1963. The equation provides a better approximation of the repulsive forces between molecules than the [[Van der Waals equation of state\|Van der Waals repulsive term]]. The equation is given below:

			<math> Z_{hs} = \frac{p_{hs}V_m}{RT} = \frac{1 - \eta^3}{(1-\eta)^4} = \frac{1 + \eta + \eta^2}{(1-\eta)^3} </math>,

			where:
			:<math>Z_{hs}</math> is the compressibility factor of the hard sphere fluid;
			:<math>p_{hs}</math> is the pressure of the fluid;
			:<math>V_m</math> is the molar volume of the fluid;
			:<math>T</math> is the absolute temperature of the fluid;
			:<math>R</math> is the gas constant; and
			:<math>\eta</math> is the [[packing fraction]] of the fluid.

	[[category: Equations of state]]		[[category: Equations of state]]
	[[category: hard sphere]]		[[category: hard sphere]]

Proxima Centari: Added categories hard sphere and Equations of state

2021-02-10T18:15:46Z

Added categories hard sphere and Equations of state

← Older revision		Revision as of 20:15, 10 February 2021
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	{{Stub-general}}		{{Stub-general}}
	The '''Thiele hard sphere equation of state''' is an [[equations of state\|equation of state]] for a [[hard sphere model\|hard sphere]] fluid developed by Thiele in 1963. The equation provides a better approximation of the repulsive forces between molecules than the [[Van der Waals equation of state\|Van der Waals repulsive term]].		The '''Thiele hard sphere equation of state''' is an [[equations of state\|equation of state]] for a [[hard sphere model\|hard sphere]] fluid developed by Thiele in 1963. The equation provides a better approximation of the repulsive forces between molecules than the [[Van der Waals equation of state\|Van der Waals repulsive term]].

			[[category: Equations of state]]
			[[category: hard sphere]]

Proxima Centari: Created page for Thiele equation

2021-02-10T18:12:23Z

Created page for Thiele equation

New page

{{Stub-general}}
The '''Thiele hard sphere equation of state''' is an [[equations of state|equation of state]] for a [[hard sphere model|hard sphere]] fluid developed by Thiele in 1963. The equation provides a better approximation of the repulsive forces between molecules than the [[Van der Waals equation of state|Van der Waals repulsive term]].