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In most applications, security attributes are pretty difficult to meet but security becomes even a bigger challenge when talking about grid computing. Providing secure communication between elements of a computational grid, by encrypting data passes between them using enhanced encryption algorithms that do not affect the performance of the grid middleware completely comparable to the actual execution time. In this paper we will cover two points. First, accelerating RC4 encryption algorithm using our developed grid security scheme "ULTRA GRIDSEC" and our developed "HIMAN" middleware and show that RC4 was accelerated by about 873.52% comparable to that accelerated by "GRIDCRYPT" scheme that applied by "Alchemi" middleware developed by Melbourne University. Second, using the accelerated RC4 scheme to secure communication between elements of "HIMAN", the stream ciphering algorithms like RC4 are the most suitable encryption algorithms for applying inside "HIMAN" as we will show.