Development of Analytical Method
for Mass Flow Measurement in a Porous
Channel
Hussain Najmi, Eddy El-Tabach, Nicolas Gascoin, Khaled Chetehouna,
and François Falempin
Abstract Porous channels are used in scramjet to perform transpiration cooling in
order to reduce thermal load in the combustion chamber. Therefore, it is important
to analyze fluid flow in the porous channel. Prior to this, it is important to estimate
the mass flowrate, pressure, and temperature precisely inside as well as outside the
porous channel. In the present work, permeation cells are specifically designed and
fabricated for the permselectivity test bench. This allows the user to measure the mass
flowrate, temperature, pressure, and composition of outlet flow along the length of
the porous tube. In order to measure the mass flowrate correctly, an analytical method
is developed. To validate the method, Nitrogen is used as a fluid.
Keywords Porous channel · Mass flowrate · Analytical method · Porous stainless
steel tube
1 Introduction
The porous tube is used in various field of research engineering such as fuel cell,
aerospace, gas separation, petroleum, and ground water [1–6]. In most of the studies,
the more attention is given to the membrane characterization but not to the flow
dynamics (such as boundary layer) along the axial direction [7, 8]. It can be due
to the experimental configuration which is of shell and tube type. In case of real
applications, flow occurs in axial and radial directions. Hence, the flow dynamics
can play a very important role in permeation through the porous media [9].
There are various fluid flow properties which can affect the permeation such as
velocity of the main flow, V z (i.e., axial flow), momentum in the main flow, M z
(i.e., in axial direction), momentum in radial direction, M y , fluid density, ρ and fluid
H. Najmi (B) · E. El-Tabach · N. Gascoin · K. Chetehouna
University Orléans, INSA-CVL, PRISME EA 4229, 18022 Bourges, France
e-mail: hussain.najmi@ensma.fr
F. Falempin
MBDA, 1 Avenue Réaumur, 92358 Le Plessis-Robinson Cedex, France
© The Editor(s) (if applicable) and The Author(s), under exclusive license
to Springer Nature Singapore Pte Ltd. 2021
N. Gascoin and E. Balasubramanian (eds.), Innovative Design, Analysis
and Development Practices in Aerospace and Automotive Engineering, Lecture Notes
in Mechanical Engineering, https://doi.org/10.1007/978-981-15-6619-6_60
547
for Mass Flow Measurement in a Porous
Channel
Hussain Najmi, Eddy El-Tabach, Nicolas Gascoin, Khaled Chetehouna,
and François Falempin
Abstract Porous channels are used in scramjet to perform transpiration cooling in
order to reduce thermal load in the combustion chamber. Therefore, it is important
to analyze fluid flow in the porous channel. Prior to this, it is important to estimate
the mass flowrate, pressure, and temperature precisely inside as well as outside the
porous channel. In the present work, permeation cells are specifically designed and
fabricated for the permselectivity test bench. This allows the user to measure the mass
flowrate, temperature, pressure, and composition of outlet flow along the length of
the porous tube. In order to measure the mass flowrate correctly, an analytical method
is developed. To validate the method, Nitrogen is used as a fluid.
Keywords Porous channel · Mass flowrate · Analytical method · Porous stainless
steel tube
1 Introduction
The porous tube is used in various field of research engineering such as fuel cell,
aerospace, gas separation, petroleum, and ground water [1–6]. In most of the studies,
the more attention is given to the membrane characterization but not to the flow
dynamics (such as boundary layer) along the axial direction [7, 8]. It can be due
to the experimental configuration which is of shell and tube type. In case of real
applications, flow occurs in axial and radial directions. Hence, the flow dynamics
can play a very important role in permeation through the porous media [9].
There are various fluid flow properties which can affect the permeation such as
velocity of the main flow, V z (i.e., axial flow), momentum in the main flow, M z
(i.e., in axial direction), momentum in radial direction, M y , fluid density, ρ and fluid
H. Najmi (B) · E. El-Tabach · N. Gascoin · K. Chetehouna
University Orléans, INSA-CVL, PRISME EA 4229, 18022 Bourges, France
e-mail: hussain.najmi@ensma.fr
F. Falempin
MBDA, 1 Avenue Réaumur, 92358 Le Plessis-Robinson Cedex, France
© The Editor(s) (if applicable) and The Author(s), under exclusive license
to Springer Nature Singapore Pte Ltd. 2021
N. Gascoin and E. Balasubramanian (eds.), Innovative Design, Analysis
and Development Practices in Aerospace and Automotive Engineering, Lecture Notes
in Mechanical Engineering, https://doi.org/10.1007/978-981-15-6619-6_60
547