Hagen-Poiseuille Flow in Circular Cylinder when Temperature is Exponential and Sinusoidal Function of Length

Hagen-Poiseuille Flow in Circular Cylinder when Temperature is Exponential and Sinusoidal Function of Length

In this paper, we have investigated the heat transfer in a circular cylindrical pipe for Hagen-Poiseuille flow and used MATLAB as a scientific tool to plot the graphs. The calculations for the axial heat conduction and the temperature gradient have been performed for both upstream and downstream flows. In this experiment, the results are plotted graphically for the different fluids like Air, Water, Milk, Glycerin and Mercury. The physical trends of the plotted curves represent the values of heat transfer that were different in Hydrogen and Air; on the contrary rest of the fluids were behaving similarly when temperature was taken as an exponential function and for sinusoidal function all the fluids were behaving in a similar manner.

___

  • [1] J.L. Bansal, Viscous Fluid Dynamics, Jaipur Publishing House,(1977) Jaipur.
  • [2] M.E. Erdogan, A note on an unsteady flow of a viscous fluid due to an oscillating plane wall, Internat J Non-Linear Mech, 35 (2000) 1--6.
  • [3 C. Fetecau, C. Fetecau, Starting solutions for some unsteady unidirectional flows of a Second grade fluid, Internat J Engrg Sci, 43 (2005) 781--789.
  • [4] C. Fetecau, C. Fetecau, Starting solutions for the motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder, Internat J Engrg Sci, 44 (2006) 788-796.
  • [5] T. Hayat, A.M. Siddiqui, S. Asghar, Some simple flows of an Oldroyd-B fluid,International J Engrg Sci, 39 (2001) 135-147.
  • [6] C. Kang, K. Jung, M. Lee, and J. Gunhee, Finite-element coupled analyses of the Reynolds and Hagen-Poiseuille equations to calculate pressure and flow of fluid dynamic bearings with a recirculation channel,Tribology International, 128 (2018) 58-64.
  • [7] J. T. Tozzi, C. H. von Kerczek, The stability of oscillatory Hagen Poiseuille flow, J. Appl. Mech., 53 (1986) 187-192.
  • [8] C. Loudon C and K. Mcculloh, Application of the Hagen–Poiseuille Equation to Fluid Feeding Through Short Tubes,Ann. Entomol. Soc. Am,92(1) (1999) 153-158.
  • [9] O. Reynolds, An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels,Ann. Entomol. Soc. Am,24 (1883) 84-99.
  • [10] H. Salwen, C.E. Grosch, The stability of Poiseuille flow in a pipe of circular cross section,J. Fluid Mech.,54 (1972) 93-112.
  • [11] H. Salwen, C.E. Grosch, F.W. Cotton, Linear stability of Poiseuille flow in circular pipe,J. Fluid Mech.,98 (1980) 273-284.