00:01
Hello students, let us note down the values given in the question.
00:04
Height 0 .68 meter, width 1 .2 meter, surface temperature 95 degree celsius, ambient temperature 25 degree celsius, thermal conductivity 0 .0287 watt per meter, then kinematic viscosity 19 .21 into 10 power minus 6 meter square per second, brandite number 0 .702, then beta value 1 by film temperature t f that is 0 .003 per kelvin given.
01:00
From this film temperature will be surface temperature plus ambient temperature divided by 2 which gives 60 degree by adding 273 we get 333 kelvin.
01:15
Here the condition is natural convention so that first we will determine rayleigh number which is given by g beta surface temperature minus ambient temperature characteristic is nothing but height that is equal to characteristic length into brandite number.
01:42
Now substituting all the values from the above we get v is viscosity surface temperature beta 1 by t f g 9 .8, then characteristic length is height 0 .68 meter brandite number 0 .702.
02:01
The rayleigh number will be 12 .32 into 10 power 8.
02:05
Now we calculate nusselt number from the vertical plate equation 0 .52 into rayleigh number power 1 by 4.
02:16
By substituting here we get nusselt number as 97 .42...