Calculation of the sixfold integrals of the Biot-Savart-Lorentz force law in a closed circuit

1989 ◽  
Vol 25 (5) ◽  
pp. 4298-4306 ◽  
Author(s):  
P.G. Moyssides
Keyword(s):  
Lorentz Force ◽  
Closed Circuit ◽  
Lorentz Force Law

Flexible Valveless Pump for Bio Applications

2019 ◽  
Author(s):  
Masoud Naghdi ◽  
Farhad Farzbod ◽  
Paul M. Goggans
Keyword(s):  
Liquid Metal ◽  
Lorentz Force ◽  
Permanent Magnets ◽  
Mechanical Energy ◽  
Electrical Energy ◽  
Electrical Current ◽  
Electromechanical Actuators ◽  
Valveless Pump ◽  
Metal Wires ◽  
Lorentz Force Law

Abstract In electromechanical actuators Lorentz force law is used to convert electrical energy into rotational or linear mechanical energy. In these conventional electromechanical actuators, rigid wires conducts the electrical current and as such the types of motion generated by these actuators are limited. Recent advances in liquid metal alloys permit designing electrical wires that are stretchable. These flexible wires have been used to fabricate various flexible connections, sensors and antennas. However, there have been very little efforts to use these stretchable liquid metal wires as actuators. Building upon our previous work in this area, we have made a flexible pump which can be used in bio applications. In this design we placed a flexible polymeric substrate filled by liquid metal Galinstan between two permanent magnets. Since the pump should convey the biological cells suspended along the fluid flow, utilizing check valves may increase the risk of clog in the inlet or outlet. Therefore, our design is based on the nozzle/diffuser concept. This new pump can be considered as a peristaltic and valve-less mechanical pumps which utilizes the Lorentz force law as the actuating mechanism.

A Simple Proof that the Lorentz Force, Law Implied Faraday's Law of Induction, when B is Time Independent

1973 ◽  
Vol 41 (5) ◽  
pp. 713-713 ◽  
Author(s):  
Mark E. Davison
Keyword(s):  
Lorentz Force ◽  
Simple Proof ◽  
Faraday’S Law ◽  
Lorentz Force Law

On the velocity in the Lorentz force law

1992 ◽  
Vol 30 (8) ◽  
pp. 480-483 ◽  
Author(s):  
A. K. T. Assis ◽  
F. M. Peixoto
Keyword(s):  
Lorentz Force ◽  
Lorentz Force Law

Feynman's Proof of the Lorentz Force Equations with Dissipation Linear in the Velocity

1997 ◽  
Vol 12 (33) ◽  
pp. 2523-2533
Author(s):  
S. K. Soni ◽  
Simmi Singh
Keyword(s):  
Inverse Problem ◽  
Calculus Of Variations ◽  
Lorentz Force ◽  
Linear Dependence ◽  
Velocity Vector ◽  
Equations Of Motion ◽  
Type Form ◽  
Helmholtz Conditions ◽  
Dissipative Terms ◽  
Lorentz Force Law

We present the Feynman proof of the Lorentz force law plus dissipative terms with a linear dependence on the velocity vector. In addition, we discuss in this context the inverse problem of the calculus of variations and the inverse problem for the Poisson dynamics. Given the equations of motion, the Helmholtz conditions for the inverse problem of the calculus of variations are solved and the Lagrangian is shown to have the nonsingular gauge type form.

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