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An exact solution of the transient forced convection energy equation for timewise linear variation of inlet temperature in a channel

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Acta Physica Academiae Scientiarum Hungaricae

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Abbreviations

T :

temperature

c p :

specific heat at constant pressure

h :

half distance between parallel plates

κ:

thermal conductivity

t :

time

u :

velocity component in x-direction

u :

mean velocity or average velocity

x, y:

cartesian coordinates (x-flow direction, y-distance from channel centreline)

ϱ:

fluid density

ν:

kinematic coefficient of viscosity

R :

Reynolds number=h u/ν

P :

Prandtl number =\(\frac{{\rho ^c p^v }}{\kappa }\)

T 0,T 1,T 2 :

known constant temperatures

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Authors and Affiliations

  1. Department of Mathematics, Himachal Pradesh University, 171005, Simla, India

    S. N. Dube & C. L. Sharma

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  1. S. N. Dube
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  2. C. L. Sharma
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Dube, S.N., Sharma, C.L. An exact solution of the transient forced convection energy equation for timewise linear variation of inlet temperature in a channel. Acta Physica 40, 123–127 (1976). https://doi.org/10.1007/BF03157096

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  • DOI: https://doi.org/10.1007/BF03157096

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