A process mixture at 200C flows at a rate of 207 kg/min onto a conveyor belt of

A process mixture at 200°C flows at a rate of 207 kg/min onto a conveyor belt of 3-mm thickness, 1-m width, and 30-m length traveling with a velocity of 36 m/min. The underside of the belt is cooled by a water spray at a temperature of 30°C, and the convection coefficient is 3000 W/m2 ∙ K. The thermo physical properties of the process mixture are Pm = 960 kg/m3, Cm = 1700 J/kg ∙ K, and km = 1.5 W/m ∙ K, while the properties for the conveyor (meta11ic) belt are Ph = 8000 kg/m3 ∙ cb = 460 J/kg ∙ K, and kb = 15 W/m ∙ K.

Using the finite-difference method of IHT (∆x = 0.5 mm, ∆t = 0.05s), the finite-element method of FEHT, or a numerical procedure of your choice, calculate the surface temperature of the mixture at the end of the conveyor belt. To,s. Assume negligible heat transfer to the ambient air by convection or by radiation to the surroundings.

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Process mixture (m) n= 207 kg/min T;= 200°C v= 36 m/min Mixture (m) Beit (b), L4 =3 mm T, Tas=? L,+ 4- T= 30°C L= 30 m Spray nozzles h = 3000 W/m-K