Unsteady natural convection flow and heat transfer utilizing magnetic nanoparticles in the presence of a sloping magnetic field inside a square enclosure are simulated numerically following nonhomogeneous dynamic model. Four different thermal boundary conditions: constant, parabolic in space, sinusoidally in space, and time for the bottom hot wall are considered. The top wall of the enclosure is cold while the vertical walls are thermally insulated. Galerkin weighted residual finite element method is used to solve the governing nondimensional partial differential equations. For simulations, 12 types of nanofluids consisting magnetite (Fe_{3}O_{4}), cobalt ferrite (CoFe_{2}O_{4}), Mn–Zn ferrite (Mn–ZnFe_{2}O_{4}), and silicon dioxide (SiO_{2}) nanoparticles along with water, engine oil, and kerosene as base fluids are used. The effects of the important model parameters such as Hartmann number, magnetic field sloping angle, and thermal Rayleigh number on the flow fields are investigated. The results show that the average Nusselt number, shear rate, as well as the nanofluid velocity decreases as the Hartmann number intensifies. Moreover, the rate of heat transfer in nanofluid exaggerates with the increase of the thermal Rayleigh number and the magnetic field sloping angle. Sinusoidally varied in space thermal boundary condition at the bottom wall provides the highest average Nusselt number and the shear rate compared to the other types of thermal boundary conditions studied here. For this case, the highest average Nusselt number is obtained for the Mn–ZnFe_{2}O_{4}–Ke nanofluid. On the other hand, Fe_{3}O_{4}–H_{2}O nanofluid delivers the highest shear rate compared to the other premeditated nanofluids.

Skip Nav Destination
Department of Mathematics,

College of Science,

Sultan Qaboos University,

PO Box 36,

Al-Khod, Muscat, PC 123, Oman
Department of Mathematics,

College of Science,

Sultan Qaboos University,

PO Box 36,

Al-Khod, Muscat, PC 123, Oman

e-mail: mansurdu@yahoo.com

Article navigation

August 2019

Research-Article

# Convective Heat Transfer Utilizing Magnetic Nanoparticles in the Presence of a Sloping Magnetic Field Inside a Square Enclosure

Latifa M. Al-Balushi,

Latifa M. Al-Balushi

Department of Mathematics,

College of Science,

Sultan Qaboos University,

PO Box 36,

Al-Khod, Muscat, PC 123, Oman

College of Science,

Sultan Qaboos University,

PO Box 36,

Al-Khod, Muscat, PC 123, Oman

Search for other works by this author on:

M. M. Rahman

M. M. Rahman

Department of Mathematics,

College of Science,

Sultan Qaboos University,

PO Box 36,

Al-Khod, Muscat, PC 123, Oman

e-mail: mansurdu@yahoo.com

College of Science,

Sultan Qaboos University,

PO Box 36,

Al-Khod, Muscat, PC 123, Oman

e-mail: mansurdu@yahoo.com

1Corresponding author.

Search for other works by this author on:

Latifa M. Al-Balushi

College of Science,

Sultan Qaboos University,

PO Box 36,

Al-Khod, Muscat, PC 123, Oman

M. M. Rahman

College of Science,

Sultan Qaboos University,

PO Box 36,

Al-Khod, Muscat, PC 123, Oman

e-mail: mansurdu@yahoo.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received October 12, 2018; final manuscript received June 20, 2019; published online July 15, 2019. Assoc. Editor: Ali J. Chamkha.

*J. Thermal Sci. Eng. Appl*. Aug 2019, 11(4): 041013 (19 pages)

**Published Online:**July 15, 2019

Article history

Received:

October 12, 2018

Revised:

June 20, 2019

Citation

Al-Balushi, L. M., and Rahman, M. M. (July 15, 2019). "Convective Heat Transfer Utilizing Magnetic Nanoparticles in the Presence of a Sloping Magnetic Field Inside a Square Enclosure." ASME. *J. Thermal Sci. Eng. Appl*. August 2019; 11(4): 041013. https://doi.org/10.1115/1.4044120

Download citation file:

### Get Email Alerts

### Cited By

Insights into the Role of Anti-Counter Rotating Vortices on Film Cooling Efficiency

J. Thermal Sci. Eng. Appl

Stacking Ensemble Method to Predict the Pool Boiling Heat Transfer of Nanomaterial-Coated Surface

J. Thermal Sci. Eng. Appl (November 2024)

Determination of Turbulent Prandtl Number for Thermal Fluid Dynamics Simulation of HVAC Unit by Data Assimilation

J. Thermal Sci. Eng. Appl (November 2024)

Experimental Study on the Endwall Aerothermal Performance of Turbine Cascades in a Novel Transient Test Facility

J. Thermal Sci. Eng. Appl (November 2024)

### Related Articles

Magnetohydrodynamic Natural Convection Heat Transfer of Hybrid Nanofluid in a Square Enclosure in the Presence of a Wavy Circular Conductive Cylinder

J. Thermal Sci. Eng. Appl (June,2020)

Instability
of Nanofluids in Natural Convection

J. Heat Transfer (July,2008)

Optimization of Free Convection Heat Transfer From Vertical Plates Using Nanofluids

J. Heat Transfer (April,2012)

Numerical Study of Natural Convective Heat Transfer in a Two-Dimensional Cavity With Centrally Located Partition Utilizing Nanofluids

J. Thermal Sci. Eng. Appl (September,2009)

### Related Proceedings Papers

### Related Chapters

Finite Element Solution of Natural Convection Flow of a Nanofluid along a Vertical Flat Plate with Streamwise Sinusoidal Surface Temperature

International Conference on Computer and Electrical Engineering 4th (ICCEE 2011)

Heat Transfer Characteristics of CNT-Heat Transfer Oil Nanofluid Flow Inside Helically Coiled Tubes under Uniform Wall Tempoerature Condition

International Conference on Computer and Electrical Engineering 4th (ICCEE 2011)

Heat Transfer Enhancement by Using Nanofluids in Laminar Forced Convection Flows Considering Variable Properties

Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010)