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Visualization of isotherms around a heated horizontal cylinder embedded in a porous medium

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Abstract

Experiments reported here confirm experimentally the existence of the characteristic planar buoyant plumes that emerge as a consequence of the presence of a cylindrical heat source embedded in an homogeneous air-saturated and non-consolidated porous medium. The resultant buoyant plumes were visualized with IR thermography considering two important cases. First, under the action of natural convection and second, under the action of forced convection due to the passage of a constant air stream directed perpendicularly towards the horizontal cylindrical heat source buried in the porous medium. Such streams were induced at different tilt angles. For each case, the temperature distribution is shown and correspondence is found with the isotherms distribution predicted by the theoretical models reported in the literature. The use of infrared techniques appears as a helpful tool that allows us to witness all the process of rise and growth of the buoyant plumes until the phenomenon reaches steady state.

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Abbreviations

\(\textit{a}\) :

Radius of the cylinder

\(\mathrm {g}\) :

Gravity acceleration

K :

Permeability

\(l_{h}\) :

Length scale

\(t_{a}\) :

Diffusion time

T :

Temperature

\(T_{w}\) :

Temperature of the cylindrical cartridge

\(T_{\infty }\) :

Room temperature

\(T_{h}\) :

Temperature scale

\(U_{\infty }\) :

Non-dimensional free stream velocity

\(V_{h}\) :

Velocity scale

\(V_{\infty }\) :

Dimensional free stream velocity

x :

Horizontal axis

y :

Vertical axis

\(\alpha\) :

Sand effective thermal diffusivity

\(\alpha _{p}\) :

Paperboard diffusivity

\(\beta\) :

Fluid coefficient of thermal expansion of air

\(\gamma\) :

Tilt angle referred to the positive vertical axis y

\(\delta _{p}\) :

Paperboard thickness

\(\lambda\) :

Porous medium effective thermal conductivity

\(\lambda _{\text {air}}\) :

Air conductivity

\(\lambda _{s}\) :

Silica sand thermal conductivity

\(\mu _{f}\) :

Fluid viscosity

\(\rho _{f}\) :

Fluid density

\(\phi\) :

Porosity

\(\varphi\) :

Polar angle

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Acknowledgments

We are greatly indebted to Prof. Amable Liñán from E.T.S. Ingenieros Aeronáuticos, Universidad Politécnica de Madrid, for his unconditional support, helpful comments and suggestions for this experimental work. We wish also to thank to CONACYT, the Instituto Politécnico Nacional through the SIP-IPN 20160942 project, and the SENER-CONACYT project No. 147061 “Sistema Integral para la Generación de Vapor en Fondo de Pozo”. Finally, we thank the anonymous reviewers of Journal of Visualization for their invaluable help in improving this work.

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Authors and Affiliations

  1. Instituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas Norte 152, Col. San Bartolo Atepehuacan, Mexico City, CP, 07730, Mexico

    A. Torres & S. Peralta

  2. ESIME Azcapotzalco, Instituto Politécnico Nacional, Av. de las granjas 682, Col. Santa Catarina, Mexico City, CP, 02250, Mexico

    M. Sánchez

  3. ESIME Zacatenco, Instituto Politécnico Nacional, Av. Instituto Politécnico Nacional S/N, Col. Lindavista, Mexico City, CP, 07738, Mexico

    F. Aragón

  4. ESIME Azcapotzalco,Instituto Politécnico Nacional, Av. de las granjas 682, Col. Santa Catarina, Mexico City, CP, 02250, Mexico

    A. Medina

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  1. A. Torres
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  2. M. Sánchez
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  3. F. Aragón
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  4. S. Peralta
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  5. A. Medina
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Correspondence to A. Torres.

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Torres, A., Sánchez, M., Aragón, F. et al. Visualization of isotherms around a heated horizontal cylinder embedded in a porous medium. J Vis 19, 631–641 (2016). https://doi.org/10.1007/s12650-016-0363-9

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  • DOI: https://doi.org/10.1007/s12650-016-0363-9

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