A catalytic converter with a large and thin ceramic slab and heat source of g ̇ w/m^3 . The outside surface temperature Tw of the slab is equal to T1 and the slab thickness is equal to L. Drive an expression to represent the maximuminternal temperature and the heat flux at the wall.

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A catalytic converter with a large and thin ceramic slab and heat source of g ̇ w/m^3 . The outside surface temperature Tw of the slab is equal to T1 and the slab thickness is equal to L. Drive an expression to represent the maximum internal temperature and the heat flux at the wall.

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Solution Tin T udny Uniform heat generation let Area g ġ W/m² A. Energy balance over du element 0 g. Adu + Чу – u etan o A du
2) (T, T= ng - 2 x 2 +. Gx + T, To t + Gn T-T, = -2 2 G T=T at 1 T- T = -ġ 4² - he T + G.L Z 3 ģL -) Ct 19 , C 2 k E 2 t ģL u
mak at centre of Slab temp. will be - + T-T, 202 ι ι g L ㄴ 2k 2 substituting us ģL.L 2 Tmar - T 22 g 2k ģL2 + ģ (² Tmax. IK 8