Abstract
Due to the reduced dimensions of electronic equipment and the need for thermal management of these equipment, In order to increase efficiency and longevity of component, heat sinks with micro aspects are very important. In this study, heat transfer of micro heat pipe has been studied experimentally. For this purpose, firstly the micro heat pipe that is suitable for industrial conditions and restrictions for the production of very small size triangular section was designed and built. According to the very small size of the primary copper tube, the manufacturing process requires precision and advanced technology. In such a way, at first the samples of fine copper tube available in the market was provided and during the process of heat and tension was brought, at the same time, to the desired thickness and diameter and then by using provided wedge the appropriate cross section is achieved. To apply thermal load, a set of various thermal flux was applied to the evaporator and temperature distribution achieved via five thermocouples which were installed on the body in accordance with the set-up and heat resistance was measured. Water and different solution mixture of water and ethanol were used to investigate effect of the electric double layer heat transfer. It was noticed that the electric double layer of ionized fluid has caused reduction of heat transfer. So that the effect of the double electric layer causes 20% drop in the thermal performance of heat pipe. However, when the operating fluid was normal water or a mixture of water and ethanol, the temperature difference between the evaporator and the condenser was higher than when pure water used. This was due to the fact that the dual electrical layer led to a disruption in the flow path inside the pipe. Micro heat pipe performance was affected due to the small size of the micro pipe as well as the ions in the fluid, causing a higher temperature difference between the evaporator and condenser sections.
Similar content being viewed by others
Abbreviations
- v :
-
Velocity (m/s)
- v l :
-
Velocity of the liquid (m/s)
- v g :
-
Velocity of the vapor (m/s)
- v r :
-
The difference between the velocity of the liquid phase and the vapor phase velocity VL − vG (m/s)
- t :
-
Time (s)
- P:
-
Pressure(Pa)
- T :
-
Matrix transpose
- g :
-
Acceleration of gravity (m/s2)
- F :
-
Body force (N)
- f 1 :
-
The force caused by an external electric potential (N)
- f 2 :
-
Body force generated by an electrical double layer between the liquid and solid (N)
- f 3 :
-
Body force generated by an electrical double layer between the liquid and vapor (N)
- E :
-
Electro viscous force (N)
- k :
-
The curvature (viewed from the vapor phase)
- k :
-
The inverse of Debye length (m−1)
- k b :
-
Boltzmann’s constant (1.3 × 10−3)
- \( \overset{\rightharpoonup }{n} \) :
-
The unit normal vector of the interface (outward from the gas to liquid phases)
- S h :
-
Any heating source including radiation and (W/m3)
- k eff :
-
Effective thermal conductivity (W/(m.K))
- T :
-
Temperature (K)
- q ′ ′ ′ :
-
Heat generated by the thermal source (W/m3)
- k s :
-
Thermal conductivity coefficient of the wall (W/(m.K))
- C p :
-
Specific heat (J/(kg.K))
- k :
-
Inverse of Debye length (1/m)
- F :
-
Faraday constant (9.65 × 104)
- R :
-
Universal gas constant (8.314 × 103 J/(mol.K))
- c i, 0 :
-
Bulk concentration of the ith ion
- n 0 :
-
Bulk ionic concentration,
- z :
-
Valence of ions
- e :
-
Charge of a proton
- q :
-
Charge of the ion
- l :
-
Liquid
- g :
-
Gas
- ρ :
-
Density (Kg/m3)
- ρ e :
-
Volumetric charging of the double electrical layer (C/m2)
- μ :
-
Dynamic viscosity (Pa.s)
- σ :
-
Coefficient of contact surface tension (N/m)
- α :
-
Volume fraction
- ϕ :
-
External electrical potential (V)
- ψ 1 :
-
Potential of the wall recharge (V)
- ψ 2 :
-
Electric potential (V)
- ε :
-
Dielectric coefficient (C/m3)
- μ S :
-
Chemical potential of ions at the contact level (J/mol)
References
Bhatti, M.M., Rashidi, M.M.: Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet. J. Mol. Liq. 221, 567–573 (2016). https://doi.org/10.1016/j.molliq.2016.05.049
Bhatti, M., Sheikholeslami, M., Zeeshan, A.: Entropy analysis on electro-kinetically modulated peristaltic propulsion of magnetized nanofluid flow through a microchannel. Entropy. 19(9), 481 (2017a)
Bhatti, M.M., Zeeshan, A., Ellahi, R., Ijaz, N.: Heat and mass transfer of two-phase flow with electric double layer effects induced due to peristaltic propulsion in the presence of transverse magnetic field. J. Mol. Liq. 230, 237–246 (2017b). https://doi.org/10.1016/j.molliq.2017.01.033
C̆erne, G., Petelin, S., Tiselj, I.: Coupling of the interface tracking and the two-fluid models for the simulation of incompressible two-phase flow. J. Comput. Phys. 171(2), 776–804 (2001). https://doi.org/10.1006/jcph.2001.6810
Delnoij, E., Kuipers, J.A.M., Vassilicos, J.C.: Numerical simulation of bubble coalescence using a volume of fluid (VOF) model. In: CONF (1998)
Ganchenko, G., Frants, E., Shelistov, V., Demekhin, E.J.M.S.: Technology: the movement of an ion-exchange microparticle in a weak external electric field. 30(4), 411–417 (2018). https://doi.org/10.1007/s12217-018-9627-4
Gong, L., Wu, J.-k., Wang, L., Chao, K.: Periodical streaming potential and electro-viscous effects in microchannel flow. Appl. Math. Mech. 29(6), 715–724 (2008). https://doi.org/10.1007/s10483-008-0603-7
Groll, M., Schneider, M., Sartre, V., Chaker Zaghdoudi, M., Lallemand, M.: Thermal control of electronic equipment by heat pipes. Revue Générale de Thermique. 37(5), 323–352 (1998). https://doi.org/10.1016/S0035-3159(98)80089-5
Heydari, M., Shokouhmand, H.: Numerical study on the effects of variable properties and nanoparticle diameter on nanofluid flow and heat transfer through micro-annulus. Int. J. Numer. Methods Heat Fluid Flow. 27(8), 1851–1869 (2017)
Ivanova, M., Schaeffer, C., Avenas, Y., Lai, A., Gillot, C.: Realization and thermal analysis of silicon thermal spreaders used in power electronics cooling. In: IEEE International Conference on Industrial Technology, 2003, 10–12 Dec. 2003, vol. 1122, pp. 1124–1129 (2003)
Jhorar, R., Tripathi, D., Bhatti, M.M., Ellahi, R.: Electroosmosis modulated biomechanical transport through asymmetric microfluidics channel. 92(10), 1229–1238 (2018). https://doi.org/10.1007/s12648-018-1215-3
Lee, S.Y., Yalcin, S.E., Joo, S.W., Sharma, A., Baysal, O., Qian, S.J.M.S.: Technology: the effect of axial concentration gradient on electrophoretic motion of a charged spherical particle in a nanopore. 22(3), 329–338 (2010). https://doi.org/10.1007/s12217-010-9195-8
Lei, Y., Chen, Z., Shi, J.J.M.S.: Technology: analysis of condensation heat transfer performance in curved triangle microchannels based on the volume of fluid method. 29(6), 433–443 (2017). https://doi.org/10.1007/s12217-017-9562-9
McGrath, T.P.: Effect of volume fraction evolution on the mathematical model for compressible multiphase FLOWS. AIP Conference Proceedings. 1195(1), 95–98 (2009). https://doi.org/10.1063/1.3295304
Mikelić, A.: An existence result for the equations describing a gas–liquid two-phase flow. Comptes Rendus Mécanique. 337(4), 226–232 (2009). https://doi.org/10.1016/j.crme.2009.04.007
Mohiuddin Mala, G., Li, D., Dale, J.D.: Heat transfer and fluid flow in microchannels. Int. J. Heat Mass Transf. 40(13), 3079–3088 (1997). https://doi.org/10.1016/S0017-9310(96)00356-0
Moon, S.H., Hwang, G., Ko, S.C., Kim, Y.T.: Experimental study on the thermal performance of micro-heat pipe with cross-section of polygon. Microelectron. Reliab. 44(2), 315–321 (2004). https://doi.org/10.1016/S0026-2714(03)00160-4
Nakajima, H. (ed.): Mass transfer - advanced aspects. InTech, Rijeka (2011)
Rahmat, M., Hubert, P.: Two-phase simulations of micro heat pipes. Comput. Fluids. 39(3), 451–460 (2010). https://doi.org/10.1016/j.compfluid.2009.09.014
Ren, L., Li, D., Qu, W.: Electro-viscous effects on liquid flow in microchannels. J. Colloid Interface Sci. 233(1), 12–22 (2001). https://doi.org/10.1006/jcis.2000.7262
Sadiq, I.M.R., Joo, S.W.: Weakly nonlinear stability analysis of an electro-osmotic thin film free surface flow. Microgravity Sci. Technol. 21(1), 331–343 (2009). https://doi.org/10.1007/s12217-009-9110-3
Shahid, A., Zhou, Z., Bhatti, M.M., Tripathi, D.: Magnetohydrodynamics nanofluid flow containing gyrotactic microorganisms propagating over a stretching surface by successive taylor series linearization method. Microgravity Sci. Technol. 30(4), 445–455 (2018). https://doi.org/10.1007/s12217-018-9600-2
Sheikholeslami, M., Bhatti, M.M.: Active method for nanofluid heat transfer enhancement by means of EHD. Int. J. Heat Mass Transf. 109, 115–122 (2017a). https://doi.org/10.1016/j.ijheatmasstransfer.2017.01.115
Sheikholeslami, M., Bhatti, M.M.: Forced convection of nanofluid in presence of constant magnetic field considering shape effects of nanoparticles. Int. J. Heat Mass Transf. 111, 1039–1049 (2017b). https://doi.org/10.1016/j.ijheatmasstransfer.2017.04.070
Shokouhmand, H., Ghazvini, M., Shabanian, J.: Performance Analysis of Using Nanofluids in Microchannel Heat Sink in different Flow Regimes and its simulation using Artificial Neural Network. Proceedings of the World Congress on Engineering 2008 Vol III, WCE 2008, July 2–4, 2008, London, U.K.
Stevanović, V., Prica, S., Maslovarić, B.: Multi-fluid model predictions of GasLiquid two-phase flows in vertical tubes. FME Transactions. 35(4), 173–181 (2007)
Suman, B., Hoda, N.: Effect of variations in thermophysical properties and design parameters on the performance of a V-shaped micro grooved heat pipe. Int. J. Heat Mass Transf. 48(10), 2090–2101 (2005). https://doi.org/10.1016/j.ijheatmasstransfer.2005.01.007
Suman, B., De, S., DasGupta, S.: A model of the capillary limit of a micro heat pipe and prediction of the dry-out length. Int. J. Heat Fluid Flow. 26(3), 495–505 (2005). https://doi.org/10.1016/j.ijheatfluidflow.2004.09.006
Vedavathi, N., Balamurugan, K.S., Gurram, D.: Heat transfer on mhd nanofluid flow over a semi infinite flat plate embedded. Frontiers in Heat and Mass Transfer. (2017)
Yan, K., Che, D.: A coupled model for simulation of the gas–liquid two-phase flow with complex flow patterns. Int. J. Multiphase Flow. 36(4), 333–348 (2010). https://doi.org/10.1016/j.ijmultiphaseflow.2009.11.007
Youngs, D.L.: Time-dependent multi-material flow with large fluid distortion. Numerical Methods for Fluid Dynamics. (1982)
Zhang, P., Qiu, H.H.: Investigation of the patterned surface modification on 3D vortex flow generation in a micropipe. J. Micromech. Microeng. 18(11), 115030 (2008)
Author information
Authors and Affiliations
Corresponding author
Additional information
This article belongs to the Topical Collection: Heat Pipe Systems for Thermal Management in Space
Guest Editors: Raffaele Savino, Sameer Khandekar
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Fallah Abbasi, M., Shokouhmand, H. Experimental Investigation on Effect of EDL on Heat Transfer of Micro Heat Pipe. Microgravity Sci. Technol. 31, 317–326 (2019). https://doi.org/10.1007/s12217-019-9685-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12217-019-9685-2