HeatTransfer-I-Section-2

Examine both steady and transient one dimensional

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Unformatted text preview: ng we obtain: ∂T ∂ ȹ ∂T ȹ ∂ ȹ ∂T ȹ ∂ ȹ ∂T ȹ ρc p = ȹ k ȹ + ȹ k ȹ + ȹ k ȹ + q' ' ' ∂t ∂x ȹ ∂x Ⱥ ∂y ȹ ∂y Ⱥ ∂z ȹ ∂z Ⱥ Finally for constant thermal conduc'vity: € 1 ∂T ∂ 2T ∂ 2T ∂ 2T q' ' ' = 2+ 2+ 2+ α ∂t ∂ x ∂y ∂z k € € α= k [ m 2 ]  ­Thermal Diffusivity ρc p 7 Conduc'on Equa'on •  Cylindrical Coordinates ∂T 1 ∂ ȹ ∂T ȹ 1 ∂ ȹ ∂T ȹ ∂ ȹ ∂T ȹ ρc p = ȹ kr ȹ + 2 ȹ k ȹ + ȹ k ȹ + q' ' ' ∂t r ∂r ȹ ∂r Ⱥ r ∂φ ȹ ∂φ Ⱥ ∂z ȹ ∂z Ⱥ € 8 Conduc'on Equa'on •  Spherical Coordinates ∂T 1 ∂ ȹ 2 ∂T ȹ 1 ∂ ȹ ∂T ȹ 1 ∂ ȹ...
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