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REVIEW OF LITERATURE
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2rdr 2tt rdr Axial temperatures Bessel Functions boundary conditions CM CM conditions become constant constant linear velocity control volume core tube Dimensionless Distance dimensionless form Distance for Dimensionless dividing both sides erfc erfcj experimental data experimental results finite difference solution flange flow direction flow rate function heat capacity ratio Heat Conduction heat loss Heat Transfer heating efficiency Hot Fluid Injection hot water injection initial and boundary injection temperature injection zone Laplace Transform Lauwerier lb cuft mathematical model Model for Hot Modified Type-Curve Matching o w w Operational Mathematics Physical and Thermal Pi Cl plot porous injection interval porous medium pressure shell problem Pw Cw r+dr radial direction Ramey rdr p c sand surrounding formation surrounding medium temperature distribution temperature gradient thermal conductivity thermal properties thermocouples thermowell variable volumetric heat capacity z+dz