Transient Conduction (posted)

# Transient Conduction (posted) - Transient Conduction The...

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Unformatted text preview: Transient Conduction: The Lumped Capacitance Method Chapter Five Sections 5.1 thru 5.3 The Lumped Capacitance Method • Based on existence of a spatially uniform temperature distribution throughout the transient process, i.e., T ≈ fn (time only) • General Lumped Capacitance analysis: The text does a general case: which includes convection, radiation and/or an applied heat flux at specified surfaces as well as internal energy generation g surr r s r c s h s s E T T A h T T hA A q dt dT CV +---- = ∞ ) ( ) ( " , , , ρ We did the problem of Negligible Radiation and Source Terms The Solution is: where the thermal time constant is defined as The change in thermal energy stored for the transient process is Thermal Resistance, Rt Lumped Thermal Capacitance, Ct ) ( " , , ∞-- = = = T T hA dt dT CV then q E h h s s g r ρ - = - =-- = ∞ ∞ t s i i t t CV hA T T T T τ ρ θ θ exp exp ) ( 1 CV hA s t ρ τ = --- =- = =- = ∆ ∫ ∫ t i t s t stored t CV dt hA dt Q E τ θ ρ θ exp 1 ) ( E- out The Biot Number and Validity of The Lumped Capacitance Method...
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Transient Conduction (posted) - Transient Conduction The...

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