Skip to main content
SpringerLink
Log in

Impacts of conductive inner L-shaped obstacle and elastic bottom wall on MHD forced convection of a nanofluid in vented cavity

  • Published:
Journal of Thermal Analysis and Calorimetry Aims and scope Submit manuscript

Abstract

Forced convection of nanofluid in a vented cavity with elastic bottom wall is studied by using an inner conductive L-shaped object and magnetic field. Simulations are performed using the finite element method when the impacts of various pertinent parameters, such as Reynolds number (between 100 and 500), Hartmann number (between 0 and 40), elastic modulus of the flexible wall (between \(10^5\) and \(10^9\)), solid nanoparticle volume fraction (between 0 and 0.04), size (between 0.1 and 0.4H), inclination (between − 90 and 90) and location (\(x_\mathrm{c}\) between 0.25 and 0.75 H and \(y_\mathrm{c}\) between 0.15 and 0.65H) of the L-shaped object on the fluid flow and heat transfer features, are investigated. It was observed that wall flexibility effects are influential for the configuration with strong convection and maximum of \(11\%\) enhancement in the average heat transfer rate for the bottom wall is achieved. Suppression of the recirculations in the vented cavity and around the L-shaped object is observed with magnetic field. It is observed that impact of magnetic field on heat transfer enhancement is different for different segments of hot wall. When the cases with the highest magnetic field and in the absence of magnetic field are compared, the average heat transfer enhancement of \(5.5\%\) is achieved for bottom elastic wall while \(24.5\%\) of reduction in the average heat transfer is seen for upper hot wall. The overall Nusselt number reduces slightly when the magnetic field strength is increased. Significant impacts of the size, inclination and location of the of the L-shaped conductive object on the fluid flow such as branching of the main flow stream, size of the vortex below the inlet port and heat transfer are observed. \(31.6\%\) rise of the average heat transfer for left vertical wall and \(34.6\%\) reduction of average heat transfer for bottom wall are achieved when the minimum and maximum of the orientation angles are compared. The location of the L-shaped object has a significant impact on the flow and thermal pattern variations. The highest variation in the contribution to the overall heat transfer is seen for right vertical hot wall segment when the Nusselt numbers at the lowest and highest values of the horizontal and vertical locations of the object are compared. L-shaped object was found to be an efficient tool to control the heat transfer features of the vented cavity. Nanofluid inclusion resulted in heat transfer enhancement in the range of 8.5–16.5% while amount of enhancement is different for different hot wall segments either in the absence or in the presence of magnetic field effects. Finally, a polynomial-type correlation for the average Nusselt number of each hot wall segments of the vented cavity is proposed for water and for nanofluid at \(\phi =0.04\).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

Abbreviations

B 0 :

Magnetic field strength

d :

Height of the object

E :

Elastic modulus

h :

Local heat transfer coefficient

k :

Thermal conductivity

\(k_\mathrm{s}\) :

Solid body thermal conductivity

H :

Cavity height

Ha:

Hartmann number

n :

Unit normal vector

\(\hbox {Nu}_\mathrm{s}\) :

Local Nusselt number

\(\hbox {Nu}_\mathrm{m}\) :

Average Nusselt number

p :

Pressure

Pr:

Prandtl number

R:

Residual

Re:

Reynolds number

T :

Temperature

u, v :

x-y velocity components

\(u_r\) :

Moving coordinate velocity

W :

Weight function

w :

Size of the inlet and outlet ports

x, y :

Cartesian coordinates

\(x, y_\mathrm{c}\) :

Center location of the object

\(\alpha\) :

Thermal diffusivity

\(\gamma\) :

Magnetic inclination angle

\(\theta\) :

Non-dimensional temperature

\(\nu\) :

Kinematic viscosity

\(\rho\) :

Density of the fluid

\(\sigma\) :

Electrical conductivity

\(\phi\) :

Solid volume fraction

\(\Omega\) :

Orientation angle of the object

c:

Cold

h:

Hot

m:

Average

nf:

Nanofluid

References

  1. Mahmoudi A Houshang, Shahi M, Talebi F. Effect of inlet and outlet location on the mixed convective cooling inside the ventilated cavity subjected to an external nanofluid. Int Commun Heat Mass Transfer. 2010;37:1158–73.

    CAS  Google Scholar 

  2. Saeidi SM, Khodadadi JM. Forced convection in a square cavity with inlet and outlet ports. Int J Heat Mass Transf. 2006;49:1896–906.

    CAS  Google Scholar 

  3. Saeidi SM, Khodadadi JM. Transient flow and heat transfer leading to periodic state in a cavity with inlet and outlet ports due to incoming flow oscillation. Int J Heat Mass Transf. 2007;50:530–8.

    Google Scholar 

  4. Khanafer K, Aithal S. Laminar mixed convection flow and heat transfer characteristics in a lid driven cavity with a circular cylinder. Int J Heat Mass Transf. 2013;66:200–9.

    Google Scholar 

  5. Selimefendigil F, Oztop HF. Fuzzy-based estimation of mixed convection heat transfer in a square cavity in the presence of an adiabatic inclined fin. Int Commun Heat Mass Transfer. 2012;39:1639–46.

    Google Scholar 

  6. Hashim I, Alsabery AI, Sheremet MA, Chamkha AJ. Numerical investigation of natural convection of \(\text{ Al }_2\text{ O }_3\)-water nanofluid in a wavy cavity with conductive inner block using Buongiorno’s two-phase model. Adv Powder Technol. 2019;30:399–414.

    CAS  Google Scholar 

  7. Alsabery AI, Sheremet MA, Chamkha AJ, Hashim I. Impact of nonhomogeneous nanofluid model on transient mixed convection in a double lid-driven wavy cavity involving solid circular cylinder. Int J Mech Sci. 2019;150:637–55.

    Google Scholar 

  8. Roslan R, Saleh H, Hashim I. Effect of rotating cylinder on heat transfer in a square enclosure filled with nanofluids. Int J Heat Mass Transf. 2012;55:7247–56.

    CAS  Google Scholar 

  9. Selimefendigil F, Oztop HF. Corrugated conductive partition effects on mhd free convection of cnt-water nanofluid in a cavity. Int J Heat Mass Transf. 2019;129:265–77.

    CAS  Google Scholar 

  10. Selimefendigil F, Oztop HF. Mixed convection in a two-sided elastic walled and sio2 nanofluid filled cavity with internal heat generation: Effects of inner rotating cylinder and nanoparticle’s shape. J Mol Liq. 2015;212:509–16.

    CAS  Google Scholar 

  11. Khanafer K, Vafai K, Gaith M. Fluid-structure interaction analysis of flow and heat transfer characteristics around a flexible microcantilever in a fluidic cell. Int Commun Heat Mass Transfer. 2016;75:315–22.

    Google Scholar 

  12. Alsabery AI, Saleh H, Ghalambaz M, Chamkha AJ, Hashim I. Fluid-structure interaction analysis of transient convection heat transfer in a cavity containing inner solid cylinder and flexible right wall. Int J Numer Methods Heat Fluid Flow (2019) (in press).

  13. Bhardwaj S, Dalal A, Pati S. Influence of wavy wall and non-uniform heating on natural convection heat transfer and entropy generation inside porous complex enclosure. Energy. 2015;79:467–81.

    Google Scholar 

  14. Selimefendigil F, Oztop HF. Forced convection and thermal predictions of pulsating nanofluid flow over a backward facing step with a corrugated bottom wall. Int J Heat Mass Transf. 2017;110:231–47.

    CAS  Google Scholar 

  15. Alsabery AI, Selimefendigil F, Hashim I, Chamkha AJ, Ghalambaz M. Fluid-structure interaction analysis of entropy generation and mixed convection inside a cavity with flexible right wall and heated rotating cylinder. Int J Heat Mass Transf. 2019;140:331–45.

    Google Scholar 

  16. Selimefendigil F, Oztop HF. Mixed convection in a partially heated triangular cavity filled with nanofluid having a partially flexible wall and internal heat generation. J Taiwan Inst Chem Eng. 2017;70:168–78.

    CAS  Google Scholar 

  17. Mehryan SAM, Ghalambaz M, Ismael MA, Chamkha AJ. Analysis of fluid-solid interaction in mhd natural convection in a square cavity equally partitioned by a vertical flexible membrane. J Magn Magn Mater. 2017;424:161–73.

    CAS  Google Scholar 

  18. Alsabery AI, Sheremet MA, Ghalambaz M, Chamkha AJ, Hashim I. Fluid-structure interaction in natural convection heat transfer in an oblique cavity with a flexible oscillating fin and partial heating. Appl Therm Eng. 2018;145:80–97.

    Google Scholar 

  19. Khanafer K. Fluid-structure interaction analysis of non-darcian effects on natural convection in a porous enclosure. Int J Heat Mass Transf. 2013;58:382–94.

    Google Scholar 

  20. Ismael MA, Jasim HF. Role of the fluid-structure interaction in mixed convection in a vented cavity. Int J Mech Sci. 2018;135:190–202.

    Google Scholar 

  21. Chamkha AJ, Mudhaf AA. Unsteady heat and mass transfer from a rotating vertical cone with a magnetic field and heat generation or absorption effects. Int J Therm Sci. 2005;44:267–76.

    Google Scholar 

  22. Naphon P, Wiriyasart S. Pulsating tio2/water nanofluids flow and heat transfer in the spirally coiled tubes with different magnetic field directions. Int J Heat Mass Transf. 2017;115:537–43.

    CAS  Google Scholar 

  23. Grosan T, Revnic C, Pop I, Ingham D. Magnetic field and internal heat generation effects on the free convection in a rectangular cavity filled with a porous medium. Int J Heat Mass Transf. 2009;52:1525–33.

    CAS  Google Scholar 

  24. Kefayati G. Effect of a magnetic field on natural convection in an open cavity subjugated to water/alumina nanofluid using lattice boltzmann method. Int Commun Heat Mass Transfer. 2013;40:67–77.

    CAS  Google Scholar 

  25. Hasanuzzaman M, Oztop HF, Rahman M, Rahim N, Saidur R, Varol Y. Magnetohydrodynamic natural convection in trapezoidal cavities. Int Commun Heat Mass Transfer. 2012;39:1384–94.

    Google Scholar 

  26. Selimefendigil F, Oztop HF. Mhd pulsating forced convection of nanofluid over parallel plates with blocks in a channel. Int J Mech Sci. 2019;157:726–40.

    Google Scholar 

  27. Selimefendigil F, Oztop HF. Magnetic field effects on the forced convection of cuo-water nanofluid flow in a channel with circular cylinders and thermal predictions using anfis. Int J Mech Sci. 2018;146:9–24.

    Google Scholar 

  28. Selimefendigil F, Oztop HF. Influence of inclination angle of magnetic field on mixed convection of nanofluid flow over a backward facing step and entropy generation. Adv Powder Technol. 2015;26:1663–75.

    CAS  Google Scholar 

  29. Selimefendigil F, Oztop HF. Mixed convection and entropy generation of nanofluid flow in a vented cavity under the influence of inclined magnetic field. Microsyst Technol. (2019) (in press).

  30. Mahian O, Kianifar A, Sahin AZ, Wongwises S. Performance analysis of a minichannel-based solar collector using different nanofluids. Energy Convers Manage. 2014;88:129–38.

    CAS  Google Scholar 

  31. Mahian O, Kianifar A, Kalogirou SA, Pop I, Wongwises S. A review of the applications of nanofluids in solar energy. Int J Heat Mass Transf. 2013;57:582–94.

    CAS  Google Scholar 

  32. Chamkha AJ, Abu-Nada E. Mixed convection flow in single- and double-lid driven square cavities filled with water—\(\text{ Al }_{2} \text{ O }_{3}\) nanofluid: effect of viscosity models. Eur J Mech B/Fluids. 2012;36:82–96.

    Google Scholar 

  33. Izadi S, Armaghani T, Ghasemiasl R, Chamkha AJ, Molana M. A comprehensive review on mixed convection of nanofluids in various shapes of enclosures. Powder Technol. 2019;343:880–907.

    CAS  Google Scholar 

  34. Nkurikiyimfura I, Wang Y, Pan Z. Heat transfer enhancement by magnetic nanofluids - a review. Renew Sustain Energy Rev. 2013;21:548–61.

    CAS  Google Scholar 

  35. Hajialigol N, Fattahi A, Ahmadi MH, Qomi ME, Kakoli E. MHD mixed convection and entropy generation in a 3-d microchannel using \(\text{ Al }_2\text{ O }_3\)-water nanofluid. J Taiwan Inst Chem Eng. 2015;46:30–42.

    CAS  Google Scholar 

  36. Mahmoudi A, Mejri I, Abbassi MA, Omri A. Analysis of mhd natural convection in a nanofluid-filled open cavity with non uniform boundary condition in the presence of uniform heat generation/absorption. Powder Technol. 2015;269:275–89.

    CAS  Google Scholar 

  37. Sheikholeslami M. CuO-water nanofluid flow due to magnetic field inside a porous media considering Brownian motion. J Mol Liq. 2018;249:921–9.

    CAS  Google Scholar 

  38. Alsabery AI, Ismael MA, Chamkha AJ, Hashim I. Effects of two-phase nanofluid model on mhd mixed convection in a lid-driven cavity in the presence of conductive inner block and corner heater. J Therm Anal Calorim. 2019;135:729–50.

    CAS  Google Scholar 

  39. Ghasemi B, Aminossadati S, Raisi A. Magnetic field effect on natural convection in a nanofluid-filled square enclosure. Int J Therm Sci. 2011;50:1748–56.

    CAS  Google Scholar 

  40. Sreedevi P, Reddy PS, Chamkha AJ. Magneto-hydrodynamics heat and mass transfer analysis of single and multi-wall carbon nanotubes over vertical cone with convective boundary condition. Int J Mech Sci. 2018;135:646–55.

    Google Scholar 

  41. Sheikholeslami M, Hayat T, Muhammad T, Alsaedi A. MHD forced convection flow of nanofluid in a porous cavity with hot elliptic obstacle by means of Lattice Boltzmann method. Int J Mech Sci. 2018;135:532–40.

    Google Scholar 

  42. Mahalakshmi T, Nithyadevi N, Oztop HF, Abu-Hamdeh N. MHD mixed convective heat transfer in a lid-driven enclosure filled with Ag-water nanofluid with center heater. Int J Mech Sci. 2018;142:407–19.

    Google Scholar 

  43. Selimefendigil F, Oztop HF. Fluid-solid interaction of elastic-step type corrugation effects on the mixed convection of nanofluid in a vented cavity with magnetic field. Int J Mech Sci. 2019;152:185–97.

    Google Scholar 

  44. Khanafer K. Comparison of flow and heat transfer characteristics in a lid-driven cavity between flexible and modified geometry of a heated bottom wall. Int J Heat Mass Transf. 2014;78:1032–41.

    Google Scholar 

  45. Ghasemi B, Aminossadati SM, Raisi A. Magnetic field effect on natural convection in a nanofluid-filled square enclosure. Int J Therm Sci. 2011;50:1748–56.

    CAS  Google Scholar 

  46. Sourtiji E, Gorji-Bandpy M, Ganji D, Hosseinizadeh S. Numerical analysis of mixed convection heat transfer of al2o3-water nanofluid in a ventilated cavity considering different positions of the outlet port. Powder Technol. 2014;262:71–81.

    CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Celal Bayar University, 45140, Manisa, Turkey

    Fatih Selimefendigil

  2. Department of Mechanical Engineering, Technology Faculty, Fırat University, 23119, Elazığ, Turkey

    Hakan F. Öztop

  3. Department of Mechanical Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, 21589, Saudi Arabia

    Hakan F. Öztop & Nidal Abu-Hamdeh

Authors
  1. Fatih Selimefendigil
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hakan F. Öztop
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Nidal Abu-Hamdeh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fatih Selimefendigil.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Selimefendigil, F., Öztop, H.F. & Abu-Hamdeh, N. Impacts of conductive inner L-shaped obstacle and elastic bottom wall on MHD forced convection of a nanofluid in vented cavity. J Therm Anal Calorim 141, 465–482 (2020). https://doi.org/10.1007/s10973-019-09114-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10973-019-09114-7

Keywords

Search

Navigation