Power generators, Hall accelerators, and flight MHD all require high levels of Hall current. The influence of
Hall current and viscous dissipation on time-independent hydro-magnetic mixed convective radiative flow
across a porous heated surface has thus been investigated using numerical computing and mathematical modeling
in the current study. The fluid is electrically conducted and varies exponentially. It is assumed that the
wall temperature and elongation rate will vary with specific exponential shapes. A solid uniform magnetic field
B₀ is employed normally to the surface. The mathematical model of PDEs for incompressible flow is transformed
into ODE by applying a numerical technique based on a finite-difference structure which includes a
three-stage Lobatto IIIa scheme with the help of MATLAB. The obtained solution depends on the convergence
constraints involving the radiation parameter R, magnetic parameter M, porosity parameter Ω, Hall parameter
m, buoyancy parameter ε, temperature distribution parameter a, Eckert number Ec, Prandtl number P_r,
and convective term bh. Graphs of the velocity and temperature profiles are explained via pertinent parameters.
Skin friction factor, and Nusselt number are also evaluated and presented graphically and in tabular form.
Results clarify that temperature profile reduces by increasing values of temperature distribution parameter
whereas opposite behavior is noted for positive values of the buoyancy parameter.