| Summary: | Abstract Background Investigating the dusty fluids flow attracted substantial attention in latest years because of their widespread utility within several industrial applications, including polymer technology, gas cooling systems, combustion, petroleum industry, and transport processes. The current article is dedicated to inspect the flow with mass transfer and heat of an unsteady Magneto-hydrodynamic dusty fluid. Consequently, impacts of chemical and thermal radiation, Joule, ion slip, Hall, and viscous dissipation toward heat and mass transferring and fluid flows are provided. Results Numerical solution of the controlling partial differential equations was performed. The temperature, velocity, and distribution of concentration for the particle and fluid phases were inspected under the influences of various physical parameters and their discussion was supplemented with diagrams. Conclusions The findings specify that these parameters have a significantly governed the solutions. The thermal radiation denotes efficiency enhancement of temperature distribution.
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