Question

pcv) is sall comparedto h 5. 5.10 A flaked cereal is of thickness 2L = 1.2 mm. The density, specific heat, and thermal conductivity of the flake are ,-700 kg/m3, dp-2400 J/kg . K, and k 0.34 W/m-K, respectively. The product is to be baked by increasing its temperature from T = 20°C to T, 220°C in a convec- tion oven, through which the product is carried on a con- veyor. If the oven is L 3 m long and the convection heat transfer coefficient at the product surface and oven air temperature are h 55 W/m2.K and300°C, respectively, determine the required conveyor velocity, V. An engineer suggests that if the flake thickness is reduced to 2L 1.0 mm the conveyor velocity can be increased, resulting in higher productivity. Determine the required conveyor velocity for the thinner flake.

SOLVE USING MATLAB WITH THE ODE solver ‘ode45’

Answer 1

Solwhon As Pe given deła Cereal Podcd oven Coveyos Beltと Thick ness ae ceeais aL Densit the flake 2 Pe. Thesma Conductivity of the lake is Ke 034 oIm- intial AepTc faempeaboeST

2 Bi 0 09 Thea efeose is a problero at lomped Sjgtermo have the lotion じC. o 3o0

2 6 x lo -2) ο.ass Appyin thon the both Side 七 Hence the Lake to veach the fnalknp is

ou the Veloity (an be epoed as Lo ス3-02 hese fore the. row i ven that the thickness the flake Chodactetstic is L050 2 o 34 «H

PCo 034 ao300 一260 exp64 64x Applying thbohioes (s (o-as 57) 10|exp (-0,06 464xt) --1.asaㅋ _ _o.06464xt a06+G4

Hence the te take to seach the foal tempis H19.313 Now veb Lo