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Estimation of Inlet Conditions of Fluid Flow in a Thick Pipe Using Inverse Technique

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Fluid Mechanics and Fluid Power, Volume 6 (FMFP 2022)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

A conjugate heat transfer problem of steady laminar flow in a circular pipe with a thick wall is considered for estimating inlet conditions of fluid flow in a thick pipe. An inverse method is used to estimate the unknown velocity and temperature of the fluid at the inlet of the pipe based on temperature data obtained on the outer surface along the pipe's length by subjecting the pipe's outer surface to uniform heat flux. Simulations are run for two-dimensional steady laminar flow in COMSOL for different data sets of inlet velocity and inlet temperature to obtain the temperature data along the length of the pipe. Then the curve is fitted using this data by using nonlinear regression analysis with the Bayesian framework. This fitted curve acts as a forward model for estimating the flow conditions at the inlet. The simulated and surrogated temperatures are compared using a Bayesian framework for the guess sample of parameters. To sample the parameter space of inlet conditions (vi, Ti) of fluid flow, Metropolis–Hastings algorithm has been used. Point estimates of v and T and their associated standard deviation (SD) are estimated.

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Abbreviations

h:

Heat transfer coefficient (w/m2 K)

k:

Thermal conductivity (w/m K)

MCMC:

Markov Chain Monte Carlo

MH:

Metropolis–Hastings

r:

Radius (m)

v:

Velocity (m/s)

T:

Temperature (K)

α:

Thermal diffusivity (m2/s)

i:

Inlet

in:

Inner

out:

Outer

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Authors and Affiliations

  1. Department of Mechanical Engineering, IIIT RK Valley, RGUKT AP, YSR Kadapa, India

    K. Dinesh Reddy & B. Konda Reddy

Authors
  1. K. Dinesh Reddy
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  2. B. Konda Reddy
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Corresponding author

Correspondence to B. Konda Reddy .

Editor information

Editors and Affiliations

  1. Department of Mechanical and Industrial Engineering, IIT Roorkee, Roorkee, Uttarakhand, India

    Krishna Mohan Singh

  2. Department of Mechanical and Industrial Engineering, IIT Roorkee, Roorkee, Uttarakhand, India

    Sushanta Dutta

  3. Department of Mechanical and Industrial Engineering, IIT Roorkee, Roorkee, India

    Sudhakar Subudhi

  4. Department of Mechanical and Industrial Engineering, IIT Roorkee, Roorkee, Uttarakhand, India

    Nikhil Kumar Singh

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Dinesh Reddy, K., Konda Reddy, B. (2024). Estimation of Inlet Conditions of Fluid Flow in a Thick Pipe Using Inverse Technique. In: Singh, K.M., Dutta, S., Subudhi, S., Singh, N.K. (eds) Fluid Mechanics and Fluid Power, Volume 6. FMFP 2022. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-5755-2_2

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  • DOI: https://doi.org/10.1007/978-981-99-5755-2_2

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-5754-5

  • Online ISBN: 978-981-99-5755-2

  • eBook Packages: EngineeringEngineering (R0)

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