Related Experiment Video
Updated: Mar 9, 2026
06:42
Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
10.2K
Generalized Magnetic Field Effects in Burgers' Nanofluid Model
M M Rashidi1, Z Yang1, Muhammad Awais2
1Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Jiading, Shanghai, China.
Plos One
|January 4, 2017
Summary
This study analyzes magnetic field effects on Burgers' nanofluid flow, incorporating Brownian motion and thermophoresis. Results reveal how these factors influence non-Newtonian fluid dynamics under varying heat conditions.
Area of Science:
- Fluid Dynamics
- Nanofluids
- Magnetohydrodynamics
Background:
- Understanding non-Newtonian fluid behavior is crucial in various industrial applications.
- Generalized magnetic field effects on Burgers' fluids require detailed investigation.
- Nanofluidics, including Brownian motion and thermophoresis, significantly impact heat transfer.
Purpose of the Study:
- To analyze the generalized magnetic field effects on the flow of a Burgers' nanofluid over an inclined wall.
- To investigate the influence of Brownian motion and thermophoresis on nanofluidics.
- To examine heat transfer characteristics under non-uniform heat generation/absorption.
Main Methods:
- Mathematical modeling of hydro-magnetics for Newtonian and Burgers' models.
- Incorporation of generalized magnetic field terms for accurate analysis.
- Application of homotopy analysis method to solve the transformed partial differential equations.
- Graphical representation of solutions for key parameters.
Main Results:
- The study presents analytical solutions for the Burgers' nanofluid flow.
- The impact of magnetic field, Deborah number, Brownian motion, and thermophoresis on fluid flow is visualized.
- Non-uniform heat generation/absorption effects on the flow are analyzed.
- A comparative study validates the obtained results against existing data.
Conclusions:
- The generalized magnetic field significantly influences Burgers' nanofluid flow.
- Brownian motion and thermophoresis play critical roles in nanofluid behavior.
- The employed homotopy approach provides accurate analytical solutions for complex fluid dynamics problems.
Related Concept Videos
01:27Magnetic Fields
7.6K
A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
A magnetic field is defined by the force that a charged particle experiences...
A magnetic field is defined by the force that a charged particle experiences...
7.6K
01:24Potential Due to a Magnetized Object
847
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
The vector...
847
01:23Magnetic Field due to Moving Charges
12.0K
A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
12.0K
01:30Electromagnetic Fields
2.9K
Electric fields generated by static charges, often referred to as electrostatic fields, are characteristically different from electric fields created by time-varying magnetic fields. While the former is a conservative field, implying that no net work is done on a test charge if it goes around in a complete loop in the field, the latter is, by definition, not a conservative field; net work is done, and it is proportional to the rate of change of magnetic flux.
However, the observation of...
However, the observation of...
2.9K
01:28Magnetostatic Boundary Conditions
1.7K
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
1.7K
01:23Atomic Nuclei: Nuclear Relaxation Processes
1.3K
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis.
1.3K