This paper presents an analysis for the unsteady flow of an incompressible Maxwell fluid in an oscillating rectangular cross section. By using the Fourier and Laplace transforms as mathematical tools, the solutions are presented as a sum of the steady-state and transient solutions. For large time, when the transients disappear, the solution is represented by the steady-state solution. The solutions for the Newtonian fluids appear as limiting cases of the solutions obtained here. In the absence of the frequency of oscillations, we obtain the problem for the flow of the Maxwell fluid in a duct of a rectangular cross-section moving parallel to its length. Finally, the required time to reach the steady-state for sine oscillations of the rectangular duct is obtained by graphical illustrations for different parameters. Moreover, the graphs are sketched for the velocity.
Manganese nanoferrites are decorated over single‐wall carbon nanotubes using in situ co‐precipitation technique to incorporate into cellulose acetate (CA) polymer in order to prepare nanocomposite membranes for salt rejection and desalination purpose. The microstructural study reveals the pore size of the synthesized membranes from 5 nm to 0.20 μm depending upon the loading concentration of the impregnated nanocomposite tubes. Fourier transform infrared (FTIR) and X‐ray diffraction (XRD) patterns of the synthesized membranes delineate the presence of decorated nanotubes in the host polymer matrix. Thermal degradation study proclaims the thermal endurance enhancement with increasing nanotubes concentration in the polymer matrix. Flux rate of the deionized (DI) water through the prepared membranes decreases with increasing nano‐filler concentration while this impact is observed inverse in salt rejection study of the aluminum sulphate (Al2(SO4)3) and zinc sulphate (ZnSO4) solutions due to the transformation of microporosity to nanoporosity with increasing composite tubes dosing into the host CA polymer.
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