Electro-spun organic nanofibers elaboration process investigations using comparative analytical solutions

Area of Science:

• Materials Science
• Chemical Engineering
• Applied Mathematics

Background:

• Electrospun organic nanofibers, with diameters under 1/4 microns, are vital in non-wovens and filtration industries.
• The electro-spinning process is mathematically modeled using the Bratu equation, derived from thermo-electro-hydrodynamics.
• Existing analytical solutions for the Bratu equation have been previously proposed and compared.

Purpose of the Study:

• To propose and evaluate the Enhanced Variational Iteration Method (EVIM).
• To introduce the BPES method for solving the Bratu equation.
• To address challenges in modeling the electro-spinning process for nanofiber fabrication.

Main Methods:

• Implementation of the Enhanced Variational Iteration Method (EVIM).
• Application of the BPES method.
• Solving the Bratu equation relevant to nanofiber fabrication.

Main Results:

• Successful application of EVIM and BPES to solve the Bratu equation.
• Demonstration of the methods' efficacy in the context of electrospun nanofibers.
• Comparison of analytical solutions derived from the proposed methods.

Conclusions:

• EVIM and BPES provide effective approaches for solving the Bratu equation.
• The proposed methods contribute to a better understanding and modeling of electro-spinning processes.
• These advancements support the fabrication of advanced nanofibers for filtration applications.