Answer: Unfortunately, junipers as a group are relatively slow growing plants so I am not sure they will fit the bill. An exceptionally tall and narrow form however is Skyrocket. These plants require a well drained soil and full sun to grow well but do not be surprised if they grow at only a foot a year or so.
In addition to junipers, another plant you might wish to consider is the arborvitae which is often used for this type of screening. I would also suggest you consult with your local nurseryman as to what would be better suited to the soil and growing conditions in your yard.
You might also consider a fence since that would be the narrowest and fastest solution to the problem. A wooden fence can be stained a soft green or gray and a flowering vine or two can be planted along it to soften the look and provide seasonal color. Sometimes this is the most effective solution.
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