Heat Transfer by Natural Convection (Part - 3) Chemical Engineering Notes | EduRev

Heat Transfer for Engg.

Chemical Engineering : Heat Transfer by Natural Convection (Part - 3) Chemical Engineering Notes | EduRev

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Illustration 5.1

A hot oven is maintained at 180 oC having vertical door 50 cm high is exposed to the atmospheric air at 20oC. Calculate the average heat transfer coefficient at the surface of the door.

The various air properties at the average temperature [(180+20)/2 = 100oC] are,

k = 0.032 W/m oC;      Pr = 0.7;          Kinematic viscosity = 24 x 10-6 m2/s

At Tb = 20oC,  Heat Transfer by Natural Convection (Part - 3) Chemical Engineering Notes | EduRev

Solution 5.1

First we have to find the Grashof number,

Heat Transfer by Natural Convection (Part - 3) Chemical Engineering Notes | EduRev

With the help of Gr and Pr, we can estimate the Ra number,

Ra = GrPr = 1.16 X 108 X 0.7 = 8.12 X 107

As Ra < 109, the eq.5.7 can be used,

Heat Transfer by Natural Convection (Part - 3) Chemical Engineering Notes | EduRev
Heat Transfer by Natural Convection (Part - 3) Chemical Engineering Notes | EduRev


5.3 Combined natural and forced convection

As we know that there is hardly any situation in which only natural or forced convective heat transfer occurs. Generally, in all the processes natural and forced convection heat transfer occur but depending upon the contribution made, the process may be approximated as either natural or forced convection problem.  However, certain situation needs to be addressed as combined natural and forced convection problem. The following is a thumb rule to determine the individual situations.

  1. Forced convection region i.e. negligible natural convection contribution Heat Transfer by Natural Convection (Part - 3) Chemical Engineering Notes | EduRev
  2. Natural convection region i.e. negligible forced convection contribution Heat Transfer by Natural Convection (Part - 3) Chemical Engineering Notes | EduRev
  3. Mixed convection i.e., significant contribution by both natural and forced convections Heat Transfer by Natural Convection (Part - 3) Chemical Engineering Notes | EduRev

In this situation, the following equation may be used,

Heat Transfer by Natural Convection (Part - 3) Chemical Engineering Notes | EduRev

where, Nu is the Nusselt number due to mixed convection, Nun is the Nusselt number due to natural convection, and Nuf is the Nusselt number due to forced convection. The value of m is generally taken as 3, whereas positive and negative signs can be used for the convection in the same and opposite directions, respectively.

 

Illustration 5.2

In the oven door described in illustration 5.1 is subjected to an upward flow of air (that is forced convection). What would be the minimum free stream velocity for which natural convection may be neglected?

Solution 5.2.

Section 5.3 above shows that for the following condition the effect of natural convection may be neglected,

Heat Transfer by Natural Convection (Part - 3) Chemical Engineering Notes | EduRev

The value of Gr number calculated in the previous illustration was 1.16 X 108

Thus,

Heat Transfer by Natural Convection (Part - 3) Chemical Engineering Notes | EduRev

U >> 0.24 m/s

Therefore, the bulk velocity of the air should be far greater that 0.24 m/s.

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